712522083168 has 960 divisors, whose sum is σ = 2647310561280. Its totient is φ = 183414067200.

The previous prime is 712522083131. The next prime is 712522083173. The reversal of 712522083168 is 861380225217.

712522083168 is a `hidden beast` number, since 7 + 125 + 2 + 208 + 316 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 651895230 + ... + 651896322.

It is an arithmetic number, because the mean of its divisors is an integer number (2757615168).

Almost surely, 2^712522083168 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 712522083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323655280640).

712522083168 is an abundant number, since it is smaller than the sum of its proper divisors (1934788478112).

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

712522083168 is a wasteful number, since it uses less digits than its factorization.

712522083168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 712522083168 in words is "seven hundred twelve billion, five hundred twenty-two million, eighty-three thousand, one hundred sixty-eight".