45026807560704 has 480 divisors, whose sum is σ = 142052725900800. Its totient is φ = 13685792440320.

The previous prime is 45026807560667. The next prime is 45026807560711. The reversal of 45026807560704 is 40706570862054.

It is a happy number.

45026807560704 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 6 + 8 + 0 + 7 + 560 + 70 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242716624 + ... + 242902064.

It is an arithmetic number, because the mean of its divisors is an integer number (295943178960).

Almost surely, 2^{45026807560704} 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 45026807560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71026362950400).

45026807560704 is an abundant number, since it is smaller than the sum of its proper divisors (97025918340096).

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

45026807560704 is a wasteful number, since it uses less digits than its factorization.

45026807560704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185596 (or 185577 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 45026807560704 in words is "forty-five trillion, twenty-six billion, eight hundred seven million, five hundred sixty thousand, seven hundred four".