116973006336 has 160 divisors (see below), whose sum is σ = 346631519520. Its totient is φ = 38947848192.

The previous prime is 116973006317. The next prime is 116973006341. The reversal of 116973006336 is 633600379611.

116973006336 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 7 + 3 + 0 + 0 + 633 + 6 = 666.

It is a super-2 number, since 2×116973006336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116973006291 and 116973006300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13999536 + ... + 14007888.

It is an arithmetic number, because the mean of its divisors is an integer number (2166446997).

Almost surely, 2^116973006336 is an apocalyptic number.

116973006336 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 116973006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173315759760).

116973006336 is an abundant number, since it is smaller than the sum of its proper divisors (229658513184).

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

116973006336 is an equidigital number, since it uses as much as digits as its factorization.

116973006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 116973006336 in words is "one hundred sixteen billion, nine hundred seventy-three million, six thousand, three hundred thirty-six".