117749263968 has 576 divisors, whose sum is σ = 414719585280. Its totient is φ = 30962663424.

The previous prime is 117749263949. The next prime is 117749263987. The reversal of 117749263968 is 869362947711.

117749263968 is a `hidden beast` number, since 11 + 77 + 492 + 6 + 3 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (117749263949) and next prime (117749263987).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 145548748 + ... + 145549556.

It is an arithmetic number, because the mean of its divisors is an integer number (719999280).

Almost surely, 2^117749263968 is an apocalyptic number.

117749263968 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 117749263968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207359792640).

117749263968 is an abundant number, since it is smaller than the sum of its proper divisors (296970321312).

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

117749263968 is a wasteful number, since it uses less digits than its factorization.

117749263968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 117749263968 in words is "one hundred seventeen billion, seven hundred forty-nine million, two hundred sixty-three thousand, nine hundred sixty-eight".