18365670400 has 495 divisors, whose sum is σ = 58252574145. Its totient is φ = 5724364800.

The previous prime is 18365670397. The next prime is 18365670403. The reversal of 18365670400 is 407656381.

It is a happy number.

The square root of 18365670400 is 135520.

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 (18365670397) and next prime (18365670403).

It can be written as a sum of positive squares in only one way, i.e., 6611641344 + 11754029056 = 81312^2 + 108416^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (18365670403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1669606395 + ... + 1669606405.

Almost surely, 2^18365670400 is an apocalyptic number.

18365670400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18365670400 is the 135520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18365670400

18365670400 is an abundant number, since it is smaller than the sum of its proper divisors (39886903745).

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

18365670400 is an frugal number, since it uses more digits than its factorization.

18365670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 18365670400 in words is "eighteen billion, three hundred sixty-five million, six hundred seventy thousand, four hundred".