116214817536 has 432 divisors, whose sum is σ = 361591776000. Its totient is φ = 35788677120.

The previous prime is 116214817489. The next prime is 116214817541. The reversal of 116214817536 is 635718412611.

116214817536 is a `hidden beast` number, since 1 + 1 + 62 + 1 + 48 + 17 + 536 = 666.

It is a super-2 number, since 2×116214817536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116214817491 and 116214817500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432025210 + ... + 432025478.

It is an arithmetic number, because the mean of its divisors is an integer number (837018000).

Almost surely, 2^116214817536 is an apocalyptic number.

116214817536 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 116214817536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888000).

116214817536 is an abundant number, since it is smaller than the sum of its proper divisors (245376958464).

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

116214817536 is a wasteful number, since it uses less digits than its factorization.

116214817536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 503 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 116214817536 in words is "one hundred sixteen billion, two hundred fourteen million, eight hundred seventeen thousand, five hundred thirty-six".