18462132864 has 192 divisors, whose sum is σ = 60863400000. Its totient is φ = 5262114816.

The previous prime is 18462132851. The next prime is 18462132877. The reversal of 18462132864 is 46823126481.

18462132864 is a `hidden beast` number, since 18 + 4 + 621 + 3 + 2 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18462132851) and next prime (18462132877).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×18462132864³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618187 + ... + 3623285.

It is an arithmetic number, because the mean of its divisors is an integer number (316996875).

Almost surely, 2^18462132864 is an apocalyptic number.

18462132864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18462132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431700000).

18462132864 is an abundant number, since it is smaller than the sum of its proper divisors (42401267136).

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

18462132864 is a wasteful number, since it uses less digits than its factorization.

18462132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5560 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 18462132864 in words is "eighteen billion, four hundred sixty-two million, one hundred thirty-two thousand, eight hundred sixty-four".