18712511033616 has 225 divisors, whose sum is σ = 54719055061671. Its totient is φ = 6173706838464.

The previous prime is 18712511033569. The next prime is 18712511033647. The reversal of 18712511033616 is 61633011521781.

The square root of 18712511033616 is 4325796.

It is a perfect power (a square), and thus also a powerful number.

18712511033616 is a `hidden beast` number, since 1 + 8 + 7 + 1 + 25 + 1 + 1 + 0 + 3 + 3 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16662965631 + ... + 16662966753.

Almost surely, 2^{18712511033616} is an apocalyptic number.

18712511033616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18712511033616 is the 4325796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18712511033616

18712511033616 is an abundant number, since it is smaller than the sum of its proper divisors (36006544028055).

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

18712511033616 is an frugal number, since it uses more digits than its factorization.

18712511033616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 18712511033616 in words is "eighteen trillion, seven hundred twelve billion, five hundred eleven million, thirty-three thousand, six hundred sixteen".