71387283456 has 384 divisors, whose sum is σ = 226347404400. Its totient is φ = 21579694080.

The previous prime is 71387283449. The next prime is 71387283479. The reversal of 71387283456 is 65438278317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×71387283456² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145391371 + ... + 145391861.

Almost surely, 2^71387283456 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 71387283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113173702200).

71387283456 is an abundant number, since it is smaller than the sum of its proper divisors (154960120944).

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

71387283456 is a wasteful number, since it uses less digits than its factorization.

71387283456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 542 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 71387283456 in words is "seventy-one billion, three hundred eighty-seven million, two hundred eighty-three thousand, four hundred fifty-six".