18734614400 has 96 divisors (see below), whose sum is σ = 47773519680. Its totient is φ = 7252070400.

The previous prime is 18734614387. The next prime is 18734614463. The reversal of 18734614400 is 441643781.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4772 + ... + 193628.

It is an arithmetic number, because the mean of its divisors is an integer number (497640830).

Almost surely, 2^18734614400 is an apocalyptic number.

18734614400 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 18734614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23886759840).

18734614400 is an abundant number, since it is smaller than the sum of its proper divisors (29038905280).

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

18734614400 is a wasteful number, since it uses less digits than its factorization.

18734614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188912 (or 188895 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 18734614400 in words is "eighteen billion, seven hundred thirty-four million, six hundred fourteen thousand, four hundred".