71227227456 has 672 divisors, whose sum is σ = 262343847168. Its totient is φ = 17942446080.

The previous prime is 71227227433. The next prime is 71227227479. The reversal of 71227227456 is 65472272217.

71227227456 is a `hidden beast` number, since 7 + 122 + 72 + 2 + 7 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (71227227433) and next prime (71227227479).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369052896 + ... + 369053088.

Almost surely, 2^71227227456 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 71227227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131171923584).

71227227456 is an abundant number, since it is smaller than the sum of its proper divisors (191116619712).

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

71227227456 is a wasteful number, since it uses less digits than its factorization.

71227227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 426 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The spelling of 71227227456 in words is "seventy-one billion, two hundred twenty-seven million, two hundred twenty-seven thousand, four hundred fifty-six".