117407013470208 has 3672 divisors, whose sum is σ = 484582866727680. Its totient is φ = 27958365388800.

The previous prime is 117407013470203. The next prime is 117407013470267. The reversal of 117407013470208 is 802074310704711.

117407013470208 is a `hidden beast` number, since 1 + 1 + 7 + 407 + 0 + 1 + 34 + 7 + 0 + 208 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117407013470203) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 3787323015153 + ... + 3787323015183.

Almost surely, 2^{117407013470208} is an apocalyptic number.

117407013470208 is a gapful number since it is divisible by the number (18) 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 117407013470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242291433363840).

117407013470208 is an abundant number, since it is smaller than the sum of its proper divisors (367175853257472).

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

117407013470208 is an equidigital number, since it uses as much as digits as its factorization.

117407013470208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 117407013470208 in words is "one hundred seventeen trillion, four hundred seven billion, thirteen million, four hundred seventy thousand, two hundred eight".