18446939100100 has 81 divisors (see below), whose sum is σ = 46566103779783. Its totient is φ = 6324561754560.

The previous prime is 18446939100071. The next prime is 18446939100103. The reversal of 18446939100100 is 100193964481.

The square root of 18446939100100 is 4294990.

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 2915016704964 + 15531922395136 = 1707342^2 + 3941056^2 .

It is not an unprimeable number, because it can be changed into a prime (18446939100103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 300618622 + ... + 300679978.

Almost surely, 2^{18446939100100} is an apocalyptic number.

18446939100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18446939100100 is the 4294990-th square number.

It is an amenable number.

18446939100100 is an abundant number, since it is smaller than the sum of its proper divisors (28119164679683).

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

18446939100100 is an frugal number, since it uses more digits than its factorization.

18446939100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122742 (or 61371 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 18446939100100 in words is "eighteen trillion, four hundred forty-six billion, nine hundred thirty-nine million, one hundred thousand, one hundred".