117004325408256 has 1920 divisors, whose sum is σ = 389522226981888. Its totient is φ = 30971422310400.

The previous prime is 117004325408251. The next prime is 117004325408429. The reversal of 117004325408256 is 652804523400711.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117004325408251) 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 191 ways as a sum of consecutive naturals, for example, 893162789311 + ... + 893162789441.

Almost surely, 2^{117004325408256} is an apocalyptic number.

117004325408256 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 117004325408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194761113490944).

117004325408256 is an abundant number, since it is smaller than the sum of its proper divisors (272517901573632).

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

117004325408256 is a wasteful number, since it uses less digits than its factorization.

117004325408256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

Adding to 117004325408256 its reverse (652804523400711), we get a palindrome (769808848808967).

The spelling of 117004325408256 in words is "one hundred seventeen trillion, four billion, three hundred twenty-five million, four hundred eight thousand, two hundred fifty-six".