46059956601120 has 1920 divisors, whose sum is σ = 204657074012160. Its totient is φ = 9477274337280.

The previous prime is 46059956601091. The next prime is 46059956601133. The reversal of 46059956601120 is 2110665995064.

46059956601120 is a `hidden beast` number, since 4 + 6 + 0 + 5 + 9 + 9 + 5 + 6 + 601 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 79826614272 + ... + 79826614848.

It is an arithmetic number, because the mean of its divisors is an integer number (106592226048).

Almost surely, 2^{46059956601120} is an apocalyptic number.

46059956601120 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 46059956601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102328537006080).

46059956601120 is an abundant number, since it is smaller than the sum of its proper divisors (158597117411040).

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

46059956601120 is a wasteful number, since it uses less digits than its factorization.

46059956601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 46059956601120 in words is "forty-six trillion, fifty-nine billion, nine hundred fifty-six million, six hundred one thousand, one hundred twenty".