45669653280 has 576 divisors, whose sum is σ = 168544696320. Its totient is φ = 11668478976.

The previous prime is 45669653243. The next prime is 45669653311. The reversal of 45669653280 is 8235696654.

45669653280 is a `hidden beast` number, since 4 + 566 + 9 + 6 + 53 + 28 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98638329 + ... + 98638791.

It is an arithmetic number, because the mean of its divisors is an integer number (292612320).

Almost surely, 2^45669653280 is an apocalyptic number.

45669653280 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 45669653280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84272348160).

45669653280 is an abundant number, since it is smaller than the sum of its proper divisors (122875043040).

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

45669653280 is a wasteful number, since it uses less digits than its factorization.

45669653280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 45669653280 in words is "forty-five billion, six hundred sixty-nine million, six hundred fifty-three thousand, two hundred eighty".