45931700761128 has 448 divisors, whose sum is σ = 164048212608000. Its totient is φ = 11723081425920.

The previous prime is 45931700761117. The next prime is 45931700761157. The reversal of 45931700761128 is 82116700713954.

45931700761128 is a `hidden beast` number, since 4 + 5 + 9 + 3 + 17 + 0 + 0 + 7 + 611 + 2 + 8 = 666.

It is a super-2 number, since 2×45931700761128² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15056148 + ... + 17847996.

It is an arithmetic number, because the mean of its divisors is an integer number (366179046000).

It is a 1-persistent number, because it is pandigital, but 2⋅45931700761128 = 91863401522256 is not.

Almost surely, 2^{45931700761128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45931700761128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82024106304000).

45931700761128 is an abundant number, since it is smaller than the sum of its proper divisors (118116511846872).

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

45931700761128 is a wasteful number, since it uses less digits than its factorization.

45931700761128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791924 (or 2791905 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 45931700761128 in words is "forty-five trillion, nine hundred thirty-one billion, seven hundred million, seven hundred sixty-one thousand, one hundred twenty-eight".