116044284961536 has 288 divisors, whose sum is σ = 333087080793600. Its totient is φ = 35745798389760.

The previous prime is 116044284961489. The next prime is 116044284961567. The reversal of 116044284961536 is 635169482440611.

It is a self number, because there is not a number n which added to its sum of digits gives 116044284961536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4742489910 + ... + 4742514378.

Almost surely, 2^{116044284961536} is an apocalyptic number.

116044284961536 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 116044284961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166543540396800).

116044284961536 is an abundant number, since it is smaller than the sum of its proper divisors (217042795832064).

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

116044284961536 is a wasteful number, since it uses less digits than its factorization.

116044284961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32475 (or 32461 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 116044284961536 in words is "one hundred sixteen trillion, forty-four billion, two hundred eighty-four million, nine hundred sixty-one thousand, five hundred thirty-six".