18768909936100 has 81 divisors (see below), whose sum is σ = 42184219249627. Its totient is φ = 7248197239360.

The previous prime is 18768909936061. The next prime is 18768909936167. The reversal of 18768909936100 is 163990986781.

The square root of 18768909936100 is 4332310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 257988821476 + 18510921114624 = 507926^2 + 4302432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1256362431 + ... + 1256377369.

Almost surely, 2^{18768909936100} is an apocalyptic number.

18768909936100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18768909936100 is the 4332310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18768909936100

18768909936100 is an abundant number, since it is smaller than the sum of its proper divisors (23415309313527).

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

18768909936100 is an frugal number, since it uses more digits than its factorization.

18768909936100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29950 (or 14975 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 67.

The spelling of 18768909936100 in words is "eighteen trillion, seven hundred sixty-eight billion, nine hundred nine million, nine hundred thirty-six thousand, one hundred".