18631600128 has 384 divisors, whose sum is σ = 57741465600. Its totient is φ = 5931712512.

The previous prime is 18631600079. The next prime is 18631600139. The reversal of 18631600128 is 82100613681.

18631600128 is a `hidden beast` number, since 1 + 8 + 6 + 31 + 600 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18631600092 and 18631600101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174127051 + ... + 174127157.

It is an arithmetic number, because the mean of its divisors is an integer number (150368400).

Almost surely, 2^18631600128 is an apocalyptic number.

18631600128 is a gapful number since it is divisible by the number (18) 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 18631600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870732800).

18631600128 is an abundant number, since it is smaller than the sum of its proper divisors (39109865472).

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

18631600128 is a wasteful number, since it uses less digits than its factorization.

18631600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 18631600128 in words is "eighteen billion, six hundred thirty-one million, six hundred thousand, one hundred twenty-eight".