117451516416 has 160 divisors (see below), whose sum is σ = 337562436288. Its totient is φ = 36075110400.

The previous prime is 117451516411. The next prime is 117451516423. The reversal of 117451516416 is 614615154711.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (117451516411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11995875 + ... + 12005661.

Almost surely, 2^117451516416 is an apocalyptic number.

117451516416 is a gapful number since it is divisible by the number (16) 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 117451516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168781218144).

117451516416 is an abundant number, since it is smaller than the sum of its proper divisors (220110919872).

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

117451516416 is an equidigital number, since it uses as much as digits as its factorization.

117451516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422 (or 10406 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The spelling of 117451516416 in words is "one hundred seventeen billion, four hundred fifty-one million, five hundred sixteen thousand, four hundred sixteen".