117806205376 has 224 divisors, whose sum is σ = 255499453440. Its totient is φ = 53777977344.

The previous prime is 117806205337. The next prime is 117806205443. The reversal of 117806205376 is 673502608711.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 383733415 + ... + 383733721.

It is an arithmetic number, because the mean of its divisors is an integer number (1140622560).

Almost surely, 2^117806205376 is an apocalyptic number.

117806205376 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 117806205376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127749726720).

117806205376 is an abundant number, since it is smaller than the sum of its proper divisors (137693248064).

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

117806205376 is a wasteful number, since it uses less digits than its factorization.

117806205376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 117806205376 in words is "one hundred seventeen billion, eight hundred six million, two hundred five thousand, three hundred seventy-six".