272151483968 has 224 divisors, whose sum is σ = 715961057280. Its totient is φ = 99659704320.

The previous prime is 272151483917. The next prime is 272151483973. The reversal of 272151483968 is 869384151272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×272151483968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4119743 + ... + 4185281.

It is an arithmetic number, because the mean of its divisors is an integer number (3196254720).

Almost surely, 2^272151483968 is an apocalyptic number.

272151483968 is a gapful number since it is divisible by the number (28) 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 272151483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357980528640).

272151483968 is an abundant number, since it is smaller than the sum of its proper divisors (443809573312).

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

272151483968 is a wasteful number, since it uses less digits than its factorization.

272151483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65625 (or 65615 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 56.

The spelling of 272151483968 in words is "two hundred seventy-two billion, one hundred fifty-one million, four hundred eighty-three thousand, nine hundred sixty-eight".