116649081600 has 432 divisors, whose sum is σ = 414710790144. Its totient is φ = 28790784000.

The previous prime is 116649081599. The next prime is 116649081677. The reversal of 116649081600 is 6180946611.

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, 13685340 + ... + 13693860.

Almost surely, 2^116649081600 is an apocalyptic number.

116649081600 is a gapful number since it is divisible by the number (10) 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 116649081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207355395072).

116649081600 is an abundant number, since it is smaller than the sum of its proper divisors (298061708544).

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

116649081600 is a wasteful number, since it uses less digits than its factorization.

116649081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 116649081600 in words is "one hundred sixteen billion, six hundred forty-nine million, eighty-one thousand, six hundred".