46113120 has 144 divisors (see below), whose sum is σ = 162594432. Its totient is φ = 11888640.

The previous prime is 46113113. The next prime is 46113131. The reversal of 46113120 is 2131164.

It is a happy number.

46113120 is a `hidden beast` number, since 4 + 611 + 31 + 20 = 666.

46113120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×46113120² = 4252839672268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46113093 and 46113102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44124 + ... + 45156.

It is an arithmetic number, because the mean of its divisors is an integer number (1129128).

Almost surely, 2^46113120 is an apocalyptic number.

46113120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81297216).

46113120 is an abundant number, since it is smaller than the sum of its proper divisors (116481312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46113120 is a wasteful number, since it uses less digits than its factorization.

46113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 46113120 is about 6790.6641795924. The cubic root of 46113120 is about 358.5982527451.

Adding to 46113120 its reverse (2131164), we get a palindrome (48244284).

The spelling of 46113120 in words is "forty-six million, one hundred thirteen thousand, one hundred twenty".