46065801600 has 2016 divisors, whose sum is σ = 220635253440. Its totient is φ = 9405849600.

The previous prime is 46065801583. The next prime is 46065801601. The reversal of 46065801600 is 610856064.

46065801600 is a `hidden beast` number, since 4 + 60 + 6 + 580 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46065801601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1485993585 + ... + 1485993615.

It is an arithmetic number, because the mean of its divisors is an integer number (109442090).

Almost surely, 2^46065801600 is an apocalyptic number.

46065801600 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 46065801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110317626720).

46065801600 is an abundant number, since it is smaller than the sum of its proper divisors (174569451840).

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

46065801600 is a wasteful number, since it uses less digits than its factorization.

46065801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 46065801600 in words is "forty-six billion, sixty-five million, eight hundred one thousand, six hundred".