117518842780416 has 576 divisors, whose sum is σ = 437566608460800. Its totient is φ = 30222139392000.

The previous prime is 117518842780403. The next prime is 117518842780439. The reversal of 117518842780416 is 614087248815711.

It is a happy number.

117518842780416 is a `hidden beast` number, since 1 + 1 + 7 + 51 + 88 + 427 + 80 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52661520 + ... + 54847728.

It is an arithmetic number, because the mean of its divisors is an integer number (759664250800).

Almost surely, 2^{117518842780416} is an apocalyptic number.

117518842780416 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 117518842780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218783304230400).

117518842780416 is an abundant number, since it is smaller than the sum of its proper divisors (320047765680384).

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

117518842780416 is a wasteful number, since it uses less digits than its factorization.

117518842780416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186353 (or 2186333 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 63.

The spelling of 117518842780416 in words is "one hundred seventeen trillion, five hundred eighteen billion, eight hundred forty-two million, seven hundred eighty thousand, four hundred sixteen".