45564026507552 has 96 divisors (see below), whose sum is σ = 103115573648640. Its totient is φ = 19414110044160.

The previous prime is 45564026507537. The next prime is 45564026507557. The reversal of 45564026507552 is 25570562046554.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (45564026507557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29233349 + ... + 30752507.

It is an arithmetic number, because the mean of its divisors is an integer number (1074120558840).

Almost surely, 2^{45564026507552} 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 45564026507552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51557786824320).

45564026507552 is an abundant number, since it is smaller than the sum of its proper divisors (57551547141088).

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

45564026507552 is a wasteful number, since it uses less digits than its factorization.

45564026507552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519954 (or 1519946 counting only the distinct ones).

The product of its (nonzero) digits is 50400000, while the sum is 56.

The spelling of 45564026507552 in words is "forty-five trillion, five hundred sixty-four billion, twenty-six million, five hundred seven thousand, five hundred fifty-two".