117704368438272 has 3168 divisors, whose sum is σ = 463042967482368. Its totient is φ = 28426567680000.

The previous prime is 117704368438229. The next prime is 117704368438273. The reversal of 117704368438272 is 272834863407711.

117704368438272 is a `hidden beast` number, since 1 + 1 + 7 + 70 + 4 + 3 + 68 + 438 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117704368438273) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 650300378022 + ... + 650300378202.

Almost surely, 2^{117704368438272} is an apocalyptic number.

117704368438272 is a gapful number since it is divisible by the number (12) 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 117704368438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231521483741184).

117704368438272 is an abundant number, since it is smaller than the sum of its proper divisors (345338599044096).

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

117704368438272 is a wasteful number, since it uses less digits than its factorization.

117704368438272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 117704368438272 in words is "one hundred seventeen trillion, seven hundred four billion, three hundred sixty-eight million, four hundred thirty-eight thousand, two hundred seventy-two".