45097704274560 has 256 divisors, whose sum is σ = 164564394301440. Its totient is φ = 10290484334592.

The previous prime is 45097704274501. The next prime is 45097704274643. The reversal of 45097704274560 is 6547240779054.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 45097704274494 and 45097704274503.

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, 5031117 + ... + 10747443.

It is an arithmetic number, because the mean of its divisors is an integer number (642829665240).

Almost surely, 2^{45097704274560} is an apocalyptic number.

45097704274560 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 45097704274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82282197150720).

45097704274560 is an abundant number, since it is smaller than the sum of its proper divisors (119466690026880).

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

45097704274560 is a wasteful number, since it uses less digits than its factorization.

45097704274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716943 (or 5716931 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 45097704274560 in words is "forty-five trillion, ninety-seven billion, seven hundred four million, two hundred seventy-four thousand, five hundred sixty".