45989024000 has 144 divisors (see below), whose sum is σ = 114836956416. Its totient is φ = 18351872000.

The previous prime is 45989023999. The next prime is 45989024017. The reversal of 45989024000 is 42098954.

It is a super-2 number, since 2×45989024000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15710537 + ... + 15713463.

It is an arithmetic number, because the mean of its divisors is an integer number (797478864).

Almost surely, 2^45989024000 is an apocalyptic number.

45989024000 is a gapful number since it is divisible by the number (40) 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 45989024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57418478208).

45989024000 is an abundant number, since it is smaller than the sum of its proper divisors (68847932416).

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

45989024000 is an equidigital number, since it uses as much as digits as its factorization.

45989024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 45989024000 in words is "forty-five billion, nine hundred eighty-nine million, twenty-four thousand".