18654400512 has 312 divisors, whose sum is σ = 59340846240. Its totient is φ = 5599395840.

The previous prime is 18654400487. The next prime is 18654400529. The reversal of 18654400512 is 21500445681.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72585088 + ... + 72585344.

It is an arithmetic number, because the mean of its divisors is an integer number (190195020).

Almost surely, 2^18654400512 is an apocalyptic number.

18654400512 is a gapful number since it is divisible by the number (12) 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 18654400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29670423120).

18654400512 is an abundant number, since it is smaller than the sum of its proper divisors (40686445728).

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

18654400512 is a wasteful number, since it uses less digits than its factorization.

18654400512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 18654400512 in words is "eighteen billion, six hundred fifty-four million, four hundred thousand, five hundred twelve".