45530722418688 has 960 divisors, whose sum is σ = 151221183447040. Its totient is φ = 13444094361600.

The previous prime is 45530722418651. The next prime is 45530722418743. The reversal of 45530722418688 is 88681422703554.

45530722418688 is a `hidden beast` number, since 4 + 5 + 5 + 307 + 2 + 241 + 8 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22640835603 + ... + 22640837613.

Almost surely, 2^{45530722418688} is an apocalyptic number.

45530722418688 is a gapful number since it is divisible by the number (48) 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 45530722418688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75610591723520).

45530722418688 is an abundant number, since it is smaller than the sum of its proper divisors (105690461028352).

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

45530722418688 is a wasteful number, since it uses less digits than its factorization.

45530722418688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 45530722418688 in words is "forty-five trillion, five hundred thirty billion, seven hundred twenty-two million, four hundred eighteen thousand, six hundred eighty-eight".