116770704584688 has 2400 divisors, whose sum is σ = 452207346877440. Its totient is φ = 28416564633600.

The previous prime is 116770704584663. The next prime is 116770704584719. The reversal of 116770704584688 is 886485407077611.

116770704584688 is a `hidden beast` number, since 1 + 1 + 67 + 7 + 0 + 70 + 458 + 46 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 352781584683 + ... + 352781585013.

Almost surely, 2^{116770704584688} is an apocalyptic number.

116770704584688 is a gapful number since it is divisible by the number (18) 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 116770704584688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226103673438720).

116770704584688 is an abundant number, since it is smaller than the sum of its proper divisors (335436642292752).

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

116770704584688 is a wasteful number, since it uses less digits than its factorization.

116770704584688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 116770704584688 in words is "one hundred sixteen trillion, seven hundred seventy billion, seven hundred four million, five hundred eighty-four thousand, six hundred eighty-eight".