18625981746816 has 160 divisors (see below), whose sum is σ = 55433253744000. Its totient is φ = 6208365574656.

The previous prime is 18625981746787. The next prime is 18625981746833. The reversal of 18625981746816 is 61864718952681.

It is a happy number.

18625981746816 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 598 + 17 + 4 + 6 + 8 + 16 = 666.

It is a super-2 number, since 2×18625981746816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 19 ways as a sum of consecutive naturals, for example, 390466135 + ... + 390513833.

It is an arithmetic number, because the mean of its divisors is an integer number (346457835900).

Almost surely, 2^{18625981746816} is an apocalyptic number.

18625981746816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18625981746816 is an abundant number, since it is smaller than the sum of its proper divisors (36807271997184).

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

18625981746816 is an equidigital number, since it uses as much as digits as its factorization.

18625981746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85388 (or 85367 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 18625981746816 in words is "eighteen trillion, six hundred twenty-five billion, nine hundred eighty-one million, seven hundred forty-six thousand, eight hundred sixteen".