18956653128 has 192 divisors, whose sum is σ = 61852752000. Its totient is φ = 5363293824.

The previous prime is 18956653117. The next prime is 18956653129. The reversal of 18956653128 is 82135665981.

18956653128 is a `hidden beast` number, since 1 + 8 + 9 + 566 + 53 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18956653129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081458 + ... + 1098846.

It is an arithmetic number, because the mean of its divisors is an integer number (322149750).

Almost surely, 2^18956653128 is an apocalyptic number.

18956653128 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 18956653128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30926376000).

18956653128 is an abundant number, since it is smaller than the sum of its proper divisors (42896098872).

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

18956653128 is a wasteful number, since it uses less digits than its factorization.

18956653128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17521 (or 17504 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The spelling of 18956653128 in words is "eighteen billion, nine hundred fifty-six million, six hundred fifty-three thousand, one hundred twenty-eight".