18942768100 has 54 divisors (see below), whose sum is σ = 42572314694. Its totient is φ = 7315795200.

The previous prime is 18942768077. The next prime is 18942768101. The reversal of 18942768100 is 186724981.

It can be written as a sum of positive squares in 9 ways, for example, as 6072773184 + 12869994916 = 77928^2 + 113446^2 .

It is a super-2 number, since 2×18942768100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18942768101) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 28521 + ... + 196720.

Almost surely, 2^18942768100 is an apocalyptic number.

18942768100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18942768100 is an abundant number, since it is smaller than the sum of its proper divisors (23629546594).

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

18942768100 is a wasteful number, since it uses less digits than its factorization.

18942768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225313 (or 225277 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 18942768100 in words is "eighteen billion, nine hundred forty-two million, seven hundred sixty-eight thousand, one hundred".