272251733338956 has 384 divisors, whose sum is σ = 812505544704000. Its totient is φ = 70848756357120.

The previous prime is 272251733338931. The next prime is 272251733338957. The reversal of 272251733338956 is 659833337152272.

It is not an unprimeable number, because it can be changed into a prime (272251733338957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 626662000 + ... + 627096296.

It is an arithmetic number, because the mean of its divisors is an integer number (2115899856000).

Almost surely, 2^{272251733338956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272251733338956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406252772352000).

272251733338956 is an abundant number, since it is smaller than the sum of its proper divisors (540253811365044).

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

272251733338956 is a wasteful number, since it uses less digits than its factorization.

272251733338956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434407 (or 434357 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 66.

The spelling of 272251733338956 in words is "two hundred seventy-two trillion, two hundred fifty-one billion, seven hundred thirty-three million, three hundred thirty-eight thousand, nine hundred fifty-six".