116849029086000 has 1120 divisors, whose sum is σ = 437096685093120. Its totient is φ = 30183259392000.

The previous prime is 116849029085989. The next prime is 116849029086007. The reversal of 116849029086000 is 680920948611.

116849029086000 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 4 + 9 + 0 + 29 + 0 + 8 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116849029086007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6104636430 + ... + 6104655570.

Almost surely, 2^{116849029086000} is an apocalyptic number.

116849029086000 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 116849029086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218548342546560).

116849029086000 is an abundant number, since it is smaller than the sum of its proper divisors (320247656007120).

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

116849029086000 is an equidigital number, since it uses as much as digits as its factorization.

116849029086000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19314 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 116849029086000 in words is "one hundred sixteen trillion, eight hundred forty-nine billion, twenty-nine million, eighty-six thousand".