18231532704 has 432 divisors, whose sum is σ = 68010667200. Its totient is φ = 4734132480.

The previous prime is 18231532663. The next prime is 18231532763. The reversal of 18231532704 is 40723513281.

18231532704 is a `hidden beast` number, since 18 + 2 + 315 + 327 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5120877 + ... + 5124435.

It is an arithmetic number, because the mean of its divisors is an integer number (157432100).

Almost surely, 2^18231532704 is an apocalyptic number.

18231532704 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 18231532704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34005333600).

18231532704 is an abundant number, since it is smaller than the sum of its proper divisors (49779134496).

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

18231532704 is a wasteful number, since it uses less digits than its factorization.

18231532704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18231532704 in words is "eighteen billion, two hundred thirty-one million, five hundred thirty-two thousand, seven hundred four".