117361225728 has 208 divisors, whose sum is σ = 351104266240. Its totient is φ = 38736838656.

The previous prime is 117361225727. The next prime is 117361225739. The reversal of 117361225728 is 827522163711.

117361225728 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 612 + 2 + 5 + 7 + 28 = 666.

It is a super-4 number, since 4×117361225728⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (117361225727) 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 15 ways as a sum of consecutive naturals, for example, 11385825 + ... + 11396127.

It is an arithmetic number, because the mean of its divisors is an integer number (1688001280).

Almost surely, 2^117361225728 is an apocalyptic number.

117361225728 is a gapful number since it is divisible by the number (18) 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 117361225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175552133120).

117361225728 is an abundant number, since it is smaller than the sum of its proper divisors (233743040512).

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

117361225728 is a wasteful number, since it uses less digits than its factorization.

117361225728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439 (or 10411 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 117361225728 in words is "one hundred seventeen billion, three hundred sixty-one million, two hundred twenty-five thousand, seven hundred twenty-eight".