45460832256 has 480 divisors, whose sum is σ = 157407425280. Its totient is φ = 12697731072.

The previous prime is 45460832227. The next prime is 45460832281. The reversal of 45460832256 is 65223806454.

45460832256 is a `hidden beast` number, since 4 + 5 + 4 + 608 + 32 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164118390 + ... + 164118666.

It is an arithmetic number, because the mean of its divisors is an integer number (327932136).

Almost surely, 2^45460832256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45460832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78703712640).

45460832256 is an abundant number, since it is smaller than the sum of its proper divisors (111946593024).

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

45460832256 is an equidigital number, since it uses as much as digits as its factorization.

45460832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 45460832256 in words is "forty-five billion, four hundred sixty million, eight hundred thirty-two thousand, two hundred fifty-six".