18642871296 has 528 divisors, whose sum is σ = 66216683520. Its totient is φ = 4930928640.

The previous prime is 18642871267. The next prime is 18642871367. The reversal of 18642871296 is 69217824681.

It is a happy number.

18642871296 is a `hidden beast` number, since 18 + 64 + 287 + 1 + 296 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97606561 + ... + 97606751.

Almost surely, 2^18642871296 is an apocalyptic number.

18642871296 is a gapful number since it is divisible by the number (16) 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 18642871296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33108341760).

18642871296 is an abundant number, since it is smaller than the sum of its proper divisors (47573812224).

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

18642871296 is a wasteful number, since it uses less digits than its factorization.

18642871296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 309 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 18642871296 in words is "eighteen billion, six hundred forty-two million, eight hundred seventy-one thousand, two hundred ninety-six".