18349411600 has 135 divisors (see below), whose sum is σ = 47828229069. Its totient is φ = 6762163200.

The previous prime is 18349411579. The next prime is 18349411621. The reversal of 18349411600 is 611494381.

18349411600 = 1³ + 2³ + ... + 520³.

The square root of 18349411600 is 135460.

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 (18349411579) and next prime (18349411621).

It can be written as a sum of positive squares in 13 ways, for example, as 18329910544 + 19501056 = 135388^2 + 4416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 18349411600.

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, 35219340 + ... + 35219860.

Almost surely, 2^18349411600 is an apocalyptic number.

18349411600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18349411600 is the 135460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18349411600

18349411600 is an abundant number, since it is smaller than the sum of its proper divisors (29478817469).

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

18349411600 is an equidigital number, since it uses as much as digits as its factorization.

18349411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Multiplying 18349411600 by its product of nonzero digits (20736), we get a square (380493398937600 = 19506240²).

The spelling of 18349411600 in words is "eighteen billion, three hundred forty-nine million, four hundred eleven thousand, six hundred".