117633332920320 has 1440 divisors, whose sum is σ = 493407729884160. Its totient is φ = 26507186012160.

The previous prime is 117633332920283. The next prime is 117633332920339. The reversal of 117633332920320 is 23029233336711.

117633332920320 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 3 + 3 + 33 + 292 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7694983717 + ... + 7694999003.

It is an arithmetic number, because the mean of its divisors is an integer number (342644256864).

Almost surely, 2^{117633332920320} is an apocalyptic number.

117633332920320 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 117633332920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246703864942080).

117633332920320 is an abundant number, since it is smaller than the sum of its proper divisors (375774396963840).

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

117633332920320 is an equidigital number, since it uses as much as digits as its factorization.

117633332920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414 (or 15375 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 117633332920320 in words is "one hundred seventeen trillion, six hundred thirty-three billion, three hundred thirty-two million, nine hundred twenty thousand, three hundred twenty".