18034341264 has 225 divisors, whose sum is σ = 55049023419. Its totient is φ = 5511343680.

The previous prime is 18034341253. The next prime is 18034341277. The reversal of 18034341264 is 46214343081.

The square root of 18034341264 is 134292.

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

18034341264 is a `hidden beast` number, since 18 + 0 + 343 + 41 + 264 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 581752929 + ... + 581752959.

Almost surely, 2^18034341264 is an apocalyptic number.

18034341264 is the 134292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18034341264

18034341264 is an abundant number, since it is smaller than the sum of its proper divisors (37014682155).

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

18034341264 is an frugal number, since it uses more digits than its factorization.

18034341264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 18034341264 by its sum of digits (36), we get a square (649236285504 = 805752²).

18034341264 divided by its sum of digits (36) gives a square (500953924 = 22382²).

The spelling of 18034341264 in words is "eighteen billion, thirty-four million, three hundred forty-one thousand, two hundred sixty-four".