18852616512 has 392 divisors, whose sum is σ = 58824770336. Its totient is φ = 5986151424.

The previous prime is 18852616501. The next prime is 18852616513. The reversal of 18852616512 is 21561625881.

18852616512 is a `hidden beast` number, since 1 + 88 + 52 + 6 + 1 + 6 + 512 = 666.

It is a super-2 number, since 2×18852616512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18852616513) 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 55 ways as a sum of consecutive naturals, for example, 115660143 + ... + 115660305.

Almost surely, 2^18852616512 is an apocalyptic number.

18852616512 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 18852616512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29412385168).

18852616512 is an abundant number, since it is smaller than the sum of its proper divisors (39972153824).

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

18852616512 is an equidigital number, since it uses as much as digits as its factorization.

18852616512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 272 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The spelling of 18852616512 in words is "eighteen billion, eight hundred fifty-two million, six hundred sixteen thousand, five hundred twelve".