45697417920 has 896 divisors, whose sum is σ = 202777344000. Its totient is φ = 9411379200.

The previous prime is 45697417901. The next prime is 45697417933. The reversal of 45697417920 is 2971479654.

45697417920 is a `hidden beast` number, since 4 + 56 + 97 + 417 + 92 + 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 127 ways as a sum of consecutive naturals, for example, 99126490 + ... + 99126950.

It is an arithmetic number, because the mean of its divisors is an integer number (226314000).

Almost surely, 2^45697417920 is an apocalyptic number.

45697417920 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 45697417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101388672000).

45697417920 is an abundant number, since it is smaller than the sum of its proper divisors (157079926080).

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

45697417920 is a wasteful number, since it uses less digits than its factorization.

45697417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 45697417920 in words is "forty-five billion, six hundred ninety-seven million, four hundred seventeen thousand, nine hundred twenty".