2271637968768 has 256 divisors, whose sum is σ = 7675736640000. Its totient is φ = 647898808320.

The previous prime is 2271637968713. The next prime is 2271637968781. The reversal of 2271637968768 is 8678697361722.

It is a super-2 number, since 2×2271637968768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2271637968696 and 2271637968705.

It is a congruent number.

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, 13731408 + ... + 13895856.

It is an arithmetic number, because the mean of its divisors is an integer number (29983346250).

Almost surely, 2^{2271637968768} is an apocalyptic number.

2271637968768 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 2271637968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837868320000).

2271637968768 is an abundant number, since it is smaller than the sum of its proper divisors (5404098671232).

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

2271637968768 is a wasteful number, since it uses less digits than its factorization.

2271637968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165050 (or 165032 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 2271637968768 in words is "two trillion, two hundred seventy-one billion, six hundred thirty-seven million, nine hundred sixty-eight thousand, seven hundred sixty-eight".