18464634000 has 240 divisors, whose sum is σ = 64789246080. Its totient is φ = 4901126400.

The previous prime is 18464633989. The next prime is 18464634043. The reversal of 18464634000 is 43646481.

18464634000 is a `hidden beast` number, since 1 + 8 + 4 + 646 + 3 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 4083741 + ... + 4088259.

It is an arithmetic number, because the mean of its divisors is an integer number (269955192).

Almost surely, 2^18464634000 is an apocalyptic number.

18464634000 is a gapful number since it is divisible by the number (10) 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 18464634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32394623040).

18464634000 is an abundant number, since it is smaller than the sum of its proper divisors (46324612080).

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

18464634000 is a wasteful number, since it uses less digits than its factorization.

18464634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4775 (or 4756 counting only the distinct ones).

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

The spelling of 18464634000 in words is "eighteen billion, four hundred sixty-four million, six hundred thirty-four thousand".