18845798400 has 1053 divisors, whose sum is σ = 80342381847. Its totient is φ = 4217241600.

The previous prime is 18845798371. The next prime is 18845798417. The reversal of 18845798400 is 489754881.

The square root of 18845798400 is 137280.

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

18845798400 is a `hidden beast` number, since 188 + 4 + 57 + 9 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4857532416 + 13988265984 = 69696^2 + 118272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1449676794 + ... + 1449676806.

Almost surely, 2^18845798400 is an apocalyptic number.

18845798400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18845798400 is the 137280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18845798400

18845798400 is an abundant number, since it is smaller than the sum of its proper divisors (61496583447).

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

18845798400 is a wasteful number, since it uses less digits than its factorization.

18845798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 18845798400 in words is "eighteen billion, eight hundred forty-five million, seven hundred ninety-eight thousand, four hundred".