45938612160 has 560 divisors, whose sum is σ = 190765200384. Its totient is φ = 10274936832.

The previous prime is 45938612123. The next prime is 45938612221. The reversal of 45938612160 is 6121683954.

45938612160 is a `hidden beast` number, since 4 + 59 + 386 + 1 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×45938612160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8524987 + ... + 8530373.

Almost surely, 2^45938612160 is an apocalyptic number.

45938612160 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 45938612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95382600192).

45938612160 is an abundant number, since it is smaller than the sum of its proper divisors (144826588224).

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

45938612160 is a wasteful number, since it uses less digits than its factorization.

45938612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 45938612160 in words is "forty-five billion, nine hundred thirty-eight million, six hundred twelve thousand, one hundred sixty".