18834816000 has 1408 divisors, whose sum is σ = 85836441600. Its totient is φ = 3612672000.

The previous prime is 18834815999. The next prime is 18834816023. The reversal of 18834816000 is 61843881.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 18834816000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1448831994 + ... + 1448832006.

Almost surely, 2^18834816000 is an apocalyptic number.

18834816000 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 18834816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42918220800).

18834816000 is an abundant number, since it is smaller than the sum of its proper divisors (67001625600).

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

18834816000 is a wasteful number, since it uses less digits than its factorization.

18834816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 18834816000 in words is "eighteen billion, eight hundred thirty-four million, eight hundred sixteen thousand".