71254983168 has 240 divisors, whose sum is σ = 217841875680. Its totient is φ = 22359048192.

The previous prime is 71254983167. The next prime is 71254983199. The reversal of 71254983168 is 86138945217.

71254983168 is a `hidden beast` number, since 7 + 1 + 2 + 549 + 8 + 31 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (71254983167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14268480 + ... + 14273472.

It is an arithmetic number, because the mean of its divisors is an integer number (907674482).

Almost surely, 2^71254983168 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 71254983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108920937840).

71254983168 is an abundant number, since it is smaller than the sum of its proper divisors (146586892512).

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

71254983168 is a wasteful number, since it uses less digits than its factorization.

71254983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5180 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 71254983168 in words is "seventy-one billion, two hundred fifty-four million, nine hundred eighty-three thousand, one hundred sixty-eight".