117962735616 has 1024 divisors, whose sum is σ = 434858803200. Its totient is φ = 31142707200.

The previous prime is 117962735521. The next prime is 117962735617. The reversal of 117962735616 is 616537269711.

117962735616 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 6 + 2 + 73 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (117962735617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3805249521 + ... + 3805249551.

It is an arithmetic number, because the mean of its divisors is an integer number (424666800).

Almost surely, 2^117962735616 is an apocalyptic number.

117962735616 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 117962735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217429401600).

117962735616 is an abundant number, since it is smaller than the sum of its proper divisors (316896067584).

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

117962735616 is a wasteful number, since it uses less digits than its factorization.

117962735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 117962735616 in words is "one hundred seventeen billion, nine hundred sixty-two million, seven hundred thirty-five thousand, six hundred sixteen".