45982031601072 has 160 divisors (see below), whose sum is σ = 141663502955520. Its totient is φ = 12566112261120.

The previous prime is 45982031601061. The next prime is 45982031601091. The reversal of 45982031601072 is 27010613028954.

It is a super-2 number, since 2×45982031601072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299932054 + ... + 300085322.

It is an arithmetic number, because the mean of its divisors is an integer number (885396893472).

It is a 1-persistent number, because it is pandigital, but 2⋅45982031601072 = 91964063202144 is not.

Almost surely, 2^{45982031601072} is an apocalyptic number.

45982031601072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

45982031601072 is an abundant number, since it is smaller than the sum of its proper divisors (95681471354448).

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

45982031601072 is a wasteful number, since it uses less digits than its factorization.

45982031601072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192131 (or 192125 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 45982031601072 in words is "forty-five trillion, nine hundred eighty-two billion, thirty-one million, six hundred one thousand, seventy-two".