45172526744960 has 128 divisors (see below), whose sum is σ = 109216108654560. Its totient is φ = 17865102458880.

The previous prime is 45172526744941. The next prime is 45172526744977. The reversal of 45172526744960 is 6944762527154.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45172526744893 and 45172526744902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19011950 + ... + 21255570.

Almost surely, 2^{45172526744960} is an apocalyptic number.

45172526744960 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 45172526744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54608054327280).

45172526744960 is an abundant number, since it is smaller than the sum of its proper divisors (64043581909600).

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

45172526744960 is a wasteful number, since it uses less digits than its factorization.

45172526744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243996 (or 2243984 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 45172526744960 in words is "forty-five trillion, one hundred seventy-two billion, five hundred twenty-six million, seven hundred forty-four thousand, nine hundred sixty".