116565600456 has 192 divisors, whose sum is σ = 336073374000. Its totient is φ = 36439603200.

The previous prime is 116565600443. The next prime is 116565600461. The reversal of 116565600456 is 654006565611.

It can be written as a sum of positive squares in 8 ways, for example, as 116508899556 + 56700900 = 341334^2 + 7530^2 .

It is a super-3 number, since 3×116565600456³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11171850 + ... + 11182278.

Almost surely, 2^116565600456 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 116565600456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168036687000).

116565600456 is an abundant number, since it is smaller than the sum of its proper divisors (219507773544).

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

116565600456 is a wasteful number, since it uses less digits than its factorization.

116565600456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10617 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 116565600456 in words is "one hundred sixteen billion, five hundred sixty-five million, six hundred thousand, four hundred fifty-six".