712558109952 has 216 divisors, whose sum is σ = 2272318982024. Its totient is φ = 213322678272.

The previous prime is 712558109909. The next prime is 712558109953. The reversal of 712558109952 is 259901855217.

712558109952 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 581 + 0 + 9 + 9 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86661939456 + 625896170496 = 294384^2 + 791136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712558109953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 786738 + ... + 1429710.

Almost surely, 2^712558109952 is an apocalyptic number.

712558109952 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 712558109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136159491012).

712558109952 is an abundant number, since it is smaller than the sum of its proper divisors (1559760872072).

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

712558109952 is a wasteful number, since it uses less digits than its factorization.

712558109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643045 (or 643028 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 712558109952 in words is "seven hundred twelve billion, five hundred fifty-eight million, one hundred nine thousand, nine hundred fifty-two".