45526863624 has 128 divisors (see below), whose sum is σ = 128287272960. Its totient is φ = 13338720000.

The previous prime is 45526863589. The next prime is 45526863637. The reversal of 45526863624 is 42636862554.

It is a super-3 number, since 3×45526863624³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 12855294 + ... + 12858834.

It is an arithmetic number, because the mean of its divisors is an integer number (1002244320).

Almost surely, 2^45526863624 is an apocalyptic number.

45526863624 is a gapful number since it is divisible by the number (44) 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 45526863624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64143636480).

45526863624 is an abundant number, since it is smaller than the sum of its proper divisors (82760409336).

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

45526863624 is a wasteful number, since it uses less digits than its factorization.

45526863624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5159 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 45526863624 in words is "forty-five billion, five hundred twenty-six million, eight hundred sixty-three thousand, six hundred twenty-four".