117319491072 has 960 divisors, whose sum is σ = 431109550080. Its totient is φ = 31352832000.

The previous prime is 117319491017. The next prime is 117319491073. The reversal of 117319491072 is 270194913711.

It is a happy number.

117319491072 is a `hidden beast` number, since 11 + 73 + 19 + 491 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117319491073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 776950197 + ... + 776950347.

It is an arithmetic number, because the mean of its divisors is an integer number (449072448).

Almost surely, 2^117319491072 is an apocalyptic number.

117319491072 is a gapful number since it is divisible by the number (12) 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 117319491072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215554775040).

117319491072 is an abundant number, since it is smaller than the sum of its proper divisors (313790059008).

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

117319491072 is a wasteful number, since it uses less digits than its factorization.

117319491072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 117319491072 in words is "one hundred seventeen billion, three hundred nineteen million, four hundred ninety-one thousand, seventy-two".