712184960256 has 576 divisors, whose sum is σ = 2434982860800. Its totient is φ = 183174512640.

The previous prime is 712184960251. The next prime is 712184960257. The reversal of 712184960256 is 652069481217.

It is a super-2 number, since 2×712184960256² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 712184960199 and 712184960208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712184960251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310048900 + ... + 310051196.

It is an arithmetic number, because the mean of its divisors is an integer number (4227400800).

Almost surely, 2^712184960256 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 712184960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217491430400).

712184960256 is an abundant number, since it is smaller than the sum of its proper divisors (1722797900544).

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

712184960256 is a wasteful number, since it uses less digits than its factorization.

712184960256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 712184960256 in words is "seven hundred twelve billion, one hundred eighty-four million, nine hundred sixty thousand, two hundred fifty-six".