18812971296 has 144 divisors (see below), whose sum is σ = 64360296000. Its totient is φ = 5092222464.

The previous prime is 18812971291. The next prime is 18812971297. The reversal of 18812971296 is 69217921881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (18812971291) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 207271 + ... + 283878.

It is an arithmetic number, because the mean of its divisors is an integer number (446946500).

Almost surely, 2^18812971296 is an apocalyptic number.

18812971296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18812971296 is an abundant number, since it is smaller than the sum of its proper divisors (45547324704).

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

18812971296 is a wasteful number, since it uses less digits than its factorization.

18812971296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491191 (or 491180 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 18812971296 in words is "eighteen billion, eight hundred twelve million, nine hundred seventy-one thousand, two hundred ninety-six".