117647725946400 has 1152 divisors, whose sum is σ = 472782377491200. Its totient is φ = 28049471078400.

The previous prime is 117647725946393. The next prime is 117647725946417. The reversal of 117647725946400 is 4649527746711.

It is a happy number.

117647725946400 is a `hidden beast` number, since 1 + 1 + 76 + 4 + 7 + 72 + 5 + 94 + 6 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1600242442 + ... + 1600315958.

It is an arithmetic number, because the mean of its divisors is an integer number (410401369350).

Almost surely, 2^{117647725946400} is an apocalyptic number.

117647725946400 is a gapful number since it is divisible by the number (10) 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 117647725946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236391188745600).

117647725946400 is an abundant number, since it is smaller than the sum of its proper divisors (355134651544800).

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

117647725946400 is a wasteful number, since it uses less digits than its factorization.

117647725946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73739 (or 73720 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 117647725946400 in words is "one hundred seventeen trillion, six hundred forty-seven billion, seven hundred twenty-five million, nine hundred forty-six thousand, four hundred".