71681450256 has 280 divisors, whose sum is σ = 226356059160. Its totient is φ = 21848444928.

The previous prime is 71681450251. The next prime is 71681450303. The reversal of 71681450256 is 65205418617.

71681450256 is a `hidden beast` number, since 7 + 16 + 81 + 4 + 502 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116640000 + 71564810256 = 10800^2 + 267516^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71681450251) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16525720 + ... + 16530056.

It is an arithmetic number, because the mean of its divisors is an integer number (808414497).

Almost surely, 2^71681450256 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 71681450256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113178029580).

71681450256 is an abundant number, since it is smaller than the sum of its proper divisors (154674608904).

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

71681450256 is a wasteful number, since it uses less digits than its factorization.

71681450256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 71681450256 in words is "seventy-one billion, six hundred eighty-one million, four hundred fifty thousand, two hundred fifty-six".