1898635968100 has 27 divisors (see below), whose sum is σ = 4120069951641. Its totient is φ = 759448875600.

The previous prime is 1898635968067. The next prime is 1898635968149. The reversal of 1898635968100 is 18695368981.

The square root of 1898635968100 is 1377910.

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

It can be written as a sum of positive squares in only one way, i.e., 683508948516 + 1215127019584 = 826746^2 + 1102328^2 .

It is a super-2 number, since 2×1898635968100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13710205 + ... + 13847995.

Almost surely, 2^{1898635968100} is an apocalyptic number.

1898635968100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1898635968100 is the 1377910-th square number.

It is an amenable number.

1898635968100 is an abundant number, since it is smaller than the sum of its proper divisors (2221433983541).

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

1898635968100 is an frugal number, since it uses more digits than its factorization.

1898635968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275596 (or 137798 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 64.

Multiplying 1898635968100 by its sum of digits (64), we get a square (121512701958400 = 11023280²).

The spelling of 1898635968100 in words is "one trillion, eight hundred ninety-eight billion, six hundred thirty-five million, nine hundred sixty-eight thousand, one hundred".