18624552489072 has 320 divisors, whose sum is σ = 56670658560000. Its totient is φ = 5840015853312.

The previous prime is 18624552489043. The next prime is 18624552489083. The reversal of 18624552489072 is 27098425542681.

18624552489072 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 4 + 552 + 4 + 8 + 9 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713598679 + ... + 713624777.

It is an arithmetic number, because the mean of its divisors is an integer number (177095808000).

Almost surely, 2^{18624552489072} is an apocalyptic number.

18624552489072 is a gapful number since it is divisible by the number (12) 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 18624552489072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335329280000).

18624552489072 is an abundant number, since it is smaller than the sum of its proper divisors (38046106070928).

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

18624552489072 is a wasteful number, since it uses less digits than its factorization.

18624552489072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26745 (or 26733 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 18624552489072 in words is "eighteen trillion, six hundred twenty-four billion, five hundred fifty-two million, four hundred eighty-nine thousand, seventy-two".