116749512000 has 840 divisors, whose sum is σ = 475063428840. Its totient is φ = 28283904000.

The previous prime is 116749511987. The next prime is 116749512013. The reversal of 116749512000 is 215947611.

116749512000 is a `hidden beast` number, since 1 + 167 + 495 + 1 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116749511987) and next prime (116749512013).

It can be written as a sum of positive squares in 4 ways, for example, as 14876193024 + 101873318976 = 121968^2 + 319176^2 .

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 78407256 + ... + 78408744.

It is an arithmetic number, because the mean of its divisors is an integer number (565551701).

Almost surely, 2^116749512000 is an apocalyptic number.

116749512000 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 116749512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237531714420).

116749512000 is an abundant number, since it is smaller than the sum of its proper divisors (358313916840).

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

116749512000 is a wasteful number, since it uses less digits than its factorization.

116749512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 116749512000 in words is "one hundred sixteen billion, seven hundred forty-nine million, five hundred twelve thousand".