117751120704 has 336 divisors, whose sum is σ = 416765232000. Its totient is φ = 31663263744.

The previous prime is 117751120679. The next prime is 117751120757. The reversal of 117751120704 is 407021157711.

117751120704 is a `hidden beast` number, since 1 + 1 + 77 + 511 + 2 + 0 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3341127 + ... + 3376185.

Almost surely, 2^117751120704 is an apocalyptic number.

117751120704 is a gapful number since it is divisible by the number (14) 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 117751120704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208382616000).

117751120704 is an abundant number, since it is smaller than the sum of its proper divisors (299014111296).

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

117751120704 is a wasteful number, since it uses less digits than its factorization.

117751120704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35115 (or 35088 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 36.

The spelling of 117751120704 in words is "one hundred seventeen billion, seven hundred fifty-one million, one hundred twenty thousand, seven hundred four".