18998352864100 has 81 divisors (see below), whose sum is σ = 42260448443563. Its totient is φ = 7413293968000.

The previous prime is 18998352864067. The next prime is 18998352864107. The reversal of 18998352864100 is 146825389981.

It is a happy number.

The square root of 18998352864100 is 4358710.

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 7996712999716 + 11001639864384 = 2827846^2 + 3316872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18998352864107) 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, 1787065785 + ... + 1787076415.

Almost surely, 2^{18998352864100} is an apocalyptic number.

18998352864100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18998352864100 is the 4358710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18998352864100

18998352864100 is an abundant number, since it is smaller than the sum of its proper divisors (23262095579463).

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

18998352864100 is an frugal number, since it uses more digits than its factorization.

18998352864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21358 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 64.

The spelling of 18998352864100 in words is "eighteen trillion, nine hundred ninety-eight billion, three hundred fifty-two million, eight hundred sixty-four thousand, one hundred".