116045077104 has 240 divisors, whose sum is σ = 368759159808. Its totient is φ = 34029072000.

The previous prime is 116045077087. The next prime is 116045077123. The reversal of 116045077104 is 401770540611.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5931819 + ... + 5951349.

Almost surely, 2^116045077104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116045077104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184379579904).

116045077104 is an abundant number, since it is smaller than the sum of its proper divisors (252714082704).

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

116045077104 is a wasteful number, since it uses less digits than its factorization.

116045077104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19609 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

It can be divided in two parts, 11604507 and 7104, that added together give a palindrome (11611611).

The spelling of 116045077104 in words is "one hundred sixteen billion, forty-five million, seventy-seven thousand, one hundred four".