45929600496 has 360 divisors, whose sum is σ = 149980686336. Its totient is φ = 13076743680.

The previous prime is 45929600477. The next prime is 45929600539. The reversal of 45929600496 is 69400692954.

It is a happy number.

45929600496 is a `hidden beast` number, since 4 + 5 + 9 + 29 + 600 + 4 + 9 + 6 = 666.

45929600496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17350245 + ... + 17352891.

Almost surely, 2^45929600496 is an apocalyptic number.

45929600496 is a gapful number since it is divisible by the number (46) 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 45929600496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74990343168).

45929600496 is an abundant number, since it is smaller than the sum of its proper divisors (104051085840).

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

45929600496 is a wasteful number, since it uses less digits than its factorization.

45929600496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 45929600496 in words is "forty-five billion, nine hundred twenty-nine million, six hundred thousand, four hundred ninety-six".