71417512512 has 224 divisors, whose sum is σ = 226148595200. Its totient is φ = 22027977216.

The previous prime is 71417512477. The next prime is 71417512513. The reversal of 71417512512 is 21521571417.

It is a happy number.

71417512512 is a `hidden beast` number, since 71 + 4 + 1 + 75 + 1 + 2 + 512 = 666.

It is a super-2 number, since 2×71417512512² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71417512513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1386483 + ... + 1437069.

Almost surely, 2^71417512512 is an apocalyptic number.

71417512512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71417512512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113074297600).

71417512512 is an abundant number, since it is smaller than the sum of its proper divisors (154731082688).

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

71417512512 is a wasteful number, since it uses less digits than its factorization.

71417512512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50670 (or 50654 counting only the distinct ones).

The product of its digits is 19600, while the sum is 36.

The spelling of 71417512512 in words is "seventy-one billion, four hundred seventeen million, five hundred twelve thousand, five hundred twelve".