45558668260224 has 1024 divisors, whose sum is σ = 161727429427200. Its totient is φ = 12344446033920.

The previous prime is 45558668260153. The next prime is 45558668260249. The reversal of 45558668260224 is 42206286685554.

45558668260224 is a `hidden beast` number, since 4 + 5 + 5 + 586 + 6 + 8 + 26 + 0 + 2 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55089078499 + ... + 55089079325.

It is an arithmetic number, because the mean of its divisors is an integer number (157936942800).

Almost surely, 2^{45558668260224} 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 45558668260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80863714713600).

45558668260224 is an abundant number, since it is smaller than the sum of its proper divisors (116168761166976).

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

45558668260224 is a wasteful number, since it uses less digits than its factorization.

45558668260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 45558668260224 in words is "forty-five trillion, five hundred fifty-eight billion, six hundred sixty-eight million, two hundred sixty thousand, two hundred twenty-four".