271632945792 has 256 divisors, whose sum is σ = 823874889600. Its totient is φ = 78553939968.

The previous prime is 271632945791. The next prime is 271632945847. The reversal of 271632945792 is 297549236172.

It is a super-2 number, since 2×271632945792² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (271632945791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76969884 + ... + 76973412.

Almost surely, 2^271632945792 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 271632945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411937444800).

271632945792 is an abundant number, since it is smaller than the sum of its proper divisors (552241943808).

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

271632945792 is a wasteful number, since it uses less digits than its factorization.

271632945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4471 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The spelling of 271632945792 in words is "two hundred seventy-one billion, six hundred thirty-two million, nine hundred forty-five thousand, seven hundred ninety-two".