18926067168100 has 27 divisors (see below), whose sum is σ = 41069660158891. Its totient is φ = 7570409465600.

The previous prime is 18926067168077. The next prime is 18926067168101. The reversal of 18926067168100 is 186176062981.

The square root of 18926067168100 is 4350410.

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 629505775396 + 18296561392704 = 793414^2 + 4277448^2 .

It is a super-2 number, since 2×18926067168100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18926067168101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43286580 + ... + 43721620.

Almost surely, 2^{18926067168100} is an apocalyptic number.

18926067168100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18926067168100 is the 4350410-th square number.

It is an amenable number.

18926067168100 is an abundant number, since it is smaller than the sum of its proper divisors (22143592990791).

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

18926067168100 is an frugal number, since it uses more digits than its factorization.

18926067168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870096 (or 435048 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 18926067168100 in words is "eighteen trillion, nine hundred twenty-six billion, sixty-seven million, one hundred sixty-eight thousand, one hundred".