1838272920100 has 18 divisors (see below), whose sum is σ = 3989052236834. Its totient is φ = 735309168000.

The previous prime is 1838272920089. The next prime is 1838272920131. The reversal of 1838272920100 is 10292728381.

It can be written as a sum of positive squares in 3 ways, for example, as 1445672484 + 1836827247616 = 38022^2 + 1355296^2 .

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 5 ways as a sum of consecutive naturals, for example, 9191364501 + ... + 9191364700.

Almost surely, 2^{1838272920100} is an apocalyptic number.

1838272920100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1838272920100 is an abundant number, since it is smaller than the sum of its proper divisors (2150779316734).

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

1838272920100 is a wasteful number, since it uses less digits than its factorization.

1838272920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18382729215 (or 18382729208 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 1838272920100 in words is "one trillion, eight hundred thirty-eight billion, two hundred seventy-two million, nine hundred twenty thousand, one hundred".