18134392896 has 189 divisors, whose sum is σ = 54008170749. Its totient is φ = 5817484800.

The previous prime is 18134392891. The next prime is 18134392931. The reversal of 18134392896 is 69829343181.

The square root of 18134392896 is 134664.

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

18134392896 is a `hidden beast` number, since 18 + 1 + 343 + 9 + 289 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199826496 + 17934566400 = 14136^2 + 133920^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18134392891) 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, 100189926 + ... + 100190106.

Almost surely, 2^18134392896 is an apocalyptic number.

18134392896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18134392896 is the 134664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18134392896

18134392896 is an abundant number, since it is smaller than the sum of its proper divisors (35873777853).

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

18134392896 is an equidigital number, since it uses as much as digits as its factorization.

18134392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 217 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 18134392896 in words is "eighteen billion, one hundred thirty-four million, three hundred ninety-two thousand, eight hundred ninety-six".