45957466368 has 504 divisors, whose sum is σ = 152919129216. Its totient is φ = 13660876800.

The previous prime is 45957466367. The next prime is 45957466381. The reversal of 45957466368 is 86366475954.

45957466368 is a `hidden beast` number, since 4 + 59 + 574 + 6 + 6 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×45957466368² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45957466363) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 125224521 + ... + 125224887.

Almost surely, 2^45957466368 is an apocalyptic number.

45957466368 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 45957466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76459564608).

45957466368 is an abundant number, since it is smaller than the sum of its proper divisors (106961662848).

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

45957466368 is an equidigital number, since it uses as much as digits as its factorization.

45957466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 444 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 45957466368 in words is "forty-five billion, nine hundred fifty-seven million, four hundred sixty-six thousand, three hundred sixty-eight".