18712128864 has 144 divisors (see below), whose sum is σ = 58024257984. Its totient is φ = 5234112000.

The previous prime is 18712128797. The next prime is 18712128913. The reversal of 18712128864 is 46882121781.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126039 + ... + 230889.

It is an arithmetic number, because the mean of its divisors is an integer number (402946236).

Almost surely, 2^18712128864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18712128864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29012128992).

18712128864 is an abundant number, since it is smaller than the sum of its proper divisors (39312129120).

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

18712128864 is a wasteful number, since it uses less digits than its factorization.

18712128864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104901 (or 104880 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The spelling of 18712128864 in words is "eighteen billion, seven hundred twelve million, one hundred twenty-eight thousand, eight hundred sixty-four".