45697353120 has 384 divisors, whose sum is σ = 167389286400. Its totient is φ = 11621643264.

The previous prime is 45697353083. The next prime is 45697353137. The reversal of 45697353120 is 2135379654.

45697353120 is a `hidden beast` number, since 4 + 5 + 6 + 97 + 3 + 531 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 61503469 + ... + 61504211.

It is an arithmetic number, because the mean of its divisors is an integer number (435909600).

Almost surely, 2^45697353120 is an apocalyptic number.

45697353120 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 45697353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83694643200).

45697353120 is an abundant number, since it is smaller than the sum of its proper divisors (121691933280).

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

45697353120 is a wasteful number, since it uses less digits than its factorization.

45697353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 45697353120 in words is "forty-five billion, six hundred ninety-seven million, three hundred fifty-three thousand, one hundred twenty".