18961396272 has 400 divisors, whose sum is σ = 69133630720. Its totient is φ = 4883203584.

The previous prime is 18961396219. The next prime is 18961396379. The reversal of 18961396272 is 27269316981.

18961396272 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 1 + 3 + 9 + 627 + 2 = 666.

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

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5069379 + ... + 5073117.

Almost surely, 2^18961396272 is an apocalyptic number.

18961396272 is a gapful number since it is divisible by the number (12) 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 18961396272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34566815360).

18961396272 is an abundant number, since it is smaller than the sum of its proper divisors (50172234448).

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

18961396272 is a wasteful number, since it uses less digits than its factorization.

18961396272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3807 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 18961396272 in words is "eighteen billion, nine hundred sixty-one million, three hundred ninety-six thousand, two hundred seventy-two".