116117016001308 has 288 divisors, whose sum is σ = 338859319518720. Its totient is φ = 32841142709760.

The previous prime is 116117016001291. The next prime is 116117016001319. The reversal of 116117016001308 is 803100610711611.

116117016001308 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 17 + 0 + 1 + 600 + 1 + 30 + 8 = 666.

It is a super-2 number, since 2×116117016001308² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8363964535 + ... + 8363978417.

It is an arithmetic number, because the mean of its divisors is an integer number (1176594859440).

Almost surely, 2^{116117016001308} is an apocalyptic number.

116117016001308 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 116117016001308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169429659759360).

116117016001308 is an abundant number, since it is smaller than the sum of its proper divisors (222742303517412).

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

116117016001308 is a wasteful number, since it uses less digits than its factorization.

116117016001308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14937 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

Adding to 116117016001308 its reverse (803100610711611), we get a palindrome (919217626712919).

The spelling of 116117016001308 in words is "one hundred sixteen trillion, one hundred seventeen billion, sixteen million, one thousand, three hundred eight".