18681422400 has 567 divisors, whose sum is σ = 71602167819. Its totient is φ = 4618690560.

The previous prime is 18681422393. The next prime is 18681422407. The reversal of 18681422400 is 422418681.

The square root of 18681422400 is 136680.

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

It is an interprime number because it is at equal distance from previous prime (18681422393) and next prime (18681422407).

It can be written as a sum of positive squares in 4 ways, for example, as 436977216 + 18244445184 = 20904^2 + 135072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18681422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 278827167 + ... + 278827233.

Almost surely, 2^18681422400 is an apocalyptic number.

18681422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18681422400 is the 136680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18681422400

18681422400 is an abundant number, since it is smaller than the sum of its proper divisors (52920745419).

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

18681422400 is a wasteful number, since it uses less digits than its factorization.

18681422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Multiplying 18681422400 by its sum of digits (36), we get a square (672531206400 = 820080²).

18681422400 divided by its sum of digits (36) gives a square (518928400 = 22780²).

The spelling of 18681422400 in words is "eighteen billion, six hundred eighty-one million, four hundred twenty-two thousand, four hundred".