71274652416 has 432 divisors, whose sum is σ = 234418609152. Its totient is φ = 20630937600.

The previous prime is 71274652391. The next prime is 71274652469. The reversal of 71274652416 is 61425647217.

71274652416 is a `hidden beast` number, since 71 + 2 + 7 + 46 + 524 + 16 = 666.

It is a super-2 number, since 2×71274652416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65209566 + ... + 65210658.

Almost surely, 2^71274652416 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 71274652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117209304576).

71274652416 is an abundant number, since it is smaller than the sum of its proper divisors (163143956736).

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

71274652416 is a wasteful number, since it uses less digits than its factorization.

71274652416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1223 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 71274652416 in words is "seventy-one billion, two hundred seventy-four million, six hundred fifty-two thousand, four hundred sixteen".