45131788926720 has 648 divisors, whose sum is σ = 162662335932096. Its totient is φ = 11552541278208.

The previous prime is 45131788926703. The next prime is 45131788926743. The reversal of 45131788926720 is 2762988713154.

45131788926720 is a `hidden beast` number, since 4 + 51 + 317 + 8 + 8 + 9 + 267 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1676065897 + ... + 1676092823.

It is an arithmetic number, because the mean of its divisors is an integer number (251022123352).

It is a 1-persistent number, because it is pandigital, but 2⋅45131788926720 = 90263577853440 is not.

Almost surely, 2^{45131788926720} is an apocalyptic number.

45131788926720 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 45131788926720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81331167966048).

45131788926720 is an abundant number, since it is smaller than the sum of its proper divisors (117530547005376).

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

45131788926720 is a wasteful number, since it uses less digits than its factorization.

45131788926720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27185 (or 27139 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 45131788926720 in words is "forty-five trillion, one hundred thirty-one billion, seven hundred eighty-eight million, nine hundred twenty-six thousand, seven hundred twenty".