71457699456 has 576 divisors, whose sum is σ = 247336446240. Its totient is φ = 19624550400.

The previous prime is 71457699437. The next prime is 71457699463. The reversal of 71457699456 is 65499675417.

71457699456 is a `hidden beast` number, since 7 + 1 + 4 + 576 + 9 + 9 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 71457699393 and 71457699402.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130635375 + ... + 130635921.

Almost surely, 2^71457699456 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 71457699456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123668223120).

71457699456 is an abundant number, since it is smaller than the sum of its proper divisors (175878746784).

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

71457699456 is a wasteful number, since it uses less digits than its factorization.

71457699456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 637 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 71457699456 in words is "seventy-one billion, four hundred fifty-seven million, six hundred ninety-nine thousand, four hundred fifty-six".