46111120 has 80 divisors (see below), whose sum is σ = 119010240. Its totient is φ = 16473600.

The previous prime is 46111099. The next prime is 46111129. The reversal of 46111120 is 2111164.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 46111094 and 46111103.

It is not an unprimeable number, because it can be changed into a prime (46111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53251 + ... + 54109.

It is an arithmetic number, because the mean of its divisors is an integer number (1487628).

Almost surely, 2^46111120 is an apocalyptic number.

46111120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46111120 is the 4295-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59505120).

46111120 is an abundant number, since it is smaller than the sum of its proper divisors (72899120).

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

46111120 is a wasteful number, since it uses less digits than its factorization.

46111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 46111120 is about 6790.5169169953. The cubic root of 46111120 is about 358.5930683429.

Adding to 46111120 its reverse (2111164), we get a palindrome (48222284).

The spelling of 46111120 in words is "forty-six million, one hundred eleven thousand, one hundred twenty".