117834792400 has 60 divisors (see below), whose sum is σ = 304874878252. Its totient is φ = 43508229120.

The previous prime is 117834792391. The next prime is 117834792451. The reversal of 117834792400 is 4297438711.

It can be written as a sum of positive squares in 6 ways, for example, as 3960940096 + 113873852304 = 62936^2 + 337452^2 .

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 11 ways as a sum of consecutive naturals, for example, 11325069 + ... + 11335468.

Almost surely, 2^117834792400 is an apocalyptic number.

117834792400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117834792400 is an abundant number, since it is smaller than the sum of its proper divisors (187040085852).

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

117834792400 is a wasteful number, since it uses less digits than its factorization.

117834792400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22660568 (or 22660557 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 117834792400 in words is "one hundred seventeen billion, eight hundred thirty-four million, seven hundred ninety-two thousand, four hundred".