45560556437760 has 5184 divisors, whose sum is σ = 218870698475520. Its totient is φ = 8638332272640.

The previous prime is 45560556437731. The next prime is 45560556437819. The reversal of 45560556437760 is 6773465506554.

45560556437760 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 0 + 5 + 564 + 3 + 7 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 358744538817 + ... + 358744538943.

Almost surely, 2^{45560556437760} is an apocalyptic number.

45560556437760 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 45560556437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109435349237760).

45560556437760 is an abundant number, since it is smaller than the sum of its proper divisors (173310142037760).

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

45560556437760 is a wasteful number, since it uses less digits than its factorization.

45560556437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 317520000, while the sum is 63.

The spelling of 45560556437760 in words is "forty-five trillion, five hundred sixty billion, five hundred fifty-six million, four hundred thirty-seven thousand, seven hundred sixty".