18966798400 has 189 divisors, whose sum is σ = 51463042743. Its totient is φ = 6874982400.

The previous prime is 18966798397. The next prime is 18966798421. The reversal of 18966798400 is 489766981.

The square root of 18966798400 is 137720.

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 10655194176 + 8311604224 = 103224^2 + 91168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60596644 + ... + 60596956.

Almost surely, 2^18966798400 is an apocalyptic number.

18966798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18966798400 is the 137720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18966798400

18966798400 is an abundant number, since it is smaller than the sum of its proper divisors (32496244343).

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

18966798400 is an equidigital number, since it uses as much as digits as its factorization.

18966798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 18966798400 in words is "eighteen billion, nine hundred sixty-six million, seven hundred ninety-eight thousand, four hundred".