45572085936 has 240 divisors, whose sum is σ = 142862752032. Its totient is φ = 13470105600.

The previous prime is 45572085917. The next prime is 45572085967. The reversal of 45572085936 is 63958027554.

45572085936 is a `hidden beast` number, since 4 + 557 + 2 + 0 + 8 + 59 + 36 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905616 + ... + 4914896.

Almost surely, 2^45572085936 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 45572085936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71431376016).

45572085936 is an abundant number, since it is smaller than the sum of its proper divisors (97290666096).

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

45572085936 is a wasteful number, since it uses less digits than its factorization.

45572085936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9412 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 45572085936 in words is "forty-five billion, five hundred seventy-two million, eighty-five thousand, nine hundred thirty-six".