45537980472960 has 256 divisors, whose sum is σ = 148897329235200. Its totient is φ = 11830968483840.

The previous prime is 45537980472949. The next prime is 45537980472977. The reversal of 45537980472960 is 6927408973554.

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, 56831586 + ... + 57627294.

It is an arithmetic number, because the mean of its divisors is an integer number (581630192325).

Almost surely, 2^{45537980472960} is an apocalyptic number.

45537980472960 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 45537980472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74448664617600).

45537980472960 is an abundant number, since it is smaller than the sum of its proper divisors (103359348762240).

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

45537980472960 is a wasteful number, since it uses less digits than its factorization.

45537980472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796499 (or 796487 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 45537980472960 in words is "forty-five trillion, five hundred thirty-seven billion, nine hundred eighty million, four hundred seventy-two thousand, nine hundred sixty".