116702071584336 has 400 divisors, whose sum is σ = 395985294807168. Its totient is φ = 32486759424000.

The previous prime is 116702071584331. The next prime is 116702071584337. The reversal of 116702071584336 is 633485170207611.

116702071584336 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 0 + 20 + 7 + 1 + 584 + 3 + 36 = 666.

It is a super-2 number, since 2×116702071584336² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116702071584331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156055476 + ... + 156801516.

Almost surely, 2^{116702071584336} is an apocalyptic number.

116702071584336 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 116702071584336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197992647403584).

116702071584336 is an abundant number, since it is smaller than the sum of its proper divisors (279283223222832).

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

116702071584336 is a wasteful number, since it uses less digits than its factorization.

116702071584336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746512 (or 746497 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 116702071584336 in words is "one hundred sixteen trillion, seven hundred two billion, seventy-one million, five hundred eighty-four thousand, three hundred thirty-six".