116681737536 has 336 divisors, whose sum is σ = 412195475328. Its totient is φ = 30730752000.

The previous prime is 116681737531. The next prime is 116681737537. The reversal of 116681737536 is 635737186611.

116681737536 is a `hidden beast` number, since 1 + 1 + 6 + 68 + 17 + 37 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×116681737536² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116681737531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61378186 + ... + 61380086.

It is an arithmetic number, because the mean of its divisors is an integer number (1226772248).

Almost surely, 2^116681737536 is an apocalyptic number.

116681737536 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 116681737536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206097737664).

116681737536 is an abundant number, since it is smaller than the sum of its proper divisors (295513737792).

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

116681737536 is a wasteful number, since it uses less digits than its factorization.

116681737536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3097 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 116681737536 in words is "one hundred sixteen billion, six hundred eighty-one million, seven hundred thirty-seven thousand, five hundred thirty-six".