45640288512 has 1080 divisors, whose sum is σ = 179414765376. Its totient is φ = 11233271808.

The previous prime is 45640288483. The next prime is 45640288513. The reversal of 45640288512 is 21588204654.

45640288512 is a `hidden beast` number, since 4 + 56 + 4 + 0 + 2 + 88 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (45640288513) 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 119 ways as a sum of consecutive naturals, for example, 681198303 + ... + 681198369.

Almost surely, 2^45640288512 is an apocalyptic number.

45640288512 is a gapful number since it is divisible by the number (42) 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 45640288512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89707382688).

45640288512 is an abundant number, since it is smaller than the sum of its proper divisors (133774476864).

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

45640288512 is a wasteful number, since it uses less digits than its factorization.

45640288512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 45640288512 in words is "forty-five billion, six hundred forty million, two hundred eighty-eight thousand, five hundred twelve".