45671882256 has 360 divisors, whose sum is σ = 172565580096. Its totient is φ = 10949852160.

The previous prime is 45671882251. The next prime is 45671882273. The reversal of 45671882256 is 65228817654.

45671882256 is a `hidden beast` number, since 4 + 567 + 1 + 8 + 8 + 22 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (45671882251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1861686 + ... + 1886058.

Almost surely, 2^45671882256 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 45671882256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86282790048).

45671882256 is an abundant number, since it is smaller than the sum of its proper divisors (126893697840).

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

45671882256 is a wasteful number, since it uses less digits than its factorization.

45671882256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24431 (or 24409 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 45671882256 in words is "forty-five billion, six hundred seventy-one million, eight hundred eighty-two thousand, two hundred fifty-six".