116884021248000 has 2720 divisors, whose sum is σ = 468692783370240. Its totient is φ = 28894769971200.

The previous prime is 116884021247993. The next prime is 116884021248011. The reversal of 116884021248000 is 842120488611.

116884021248000 is a `hidden beast` number, since 1 + 168 + 8 + 4 + 0 + 2 + 1 + 2 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 920346623937 + ... + 920346624063.

Almost surely, 2^{116884021248000} is an apocalyptic number.

116884021248000 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 116884021248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234346391685120).

116884021248000 is an abundant number, since it is smaller than the sum of its proper divisors (351808762122240).

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

116884021248000 is an frugal number, since it uses more digits than its factorization.

116884021248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 116884021248000 in words is "one hundred sixteen trillion, eight hundred eighty-four billion, twenty-one million, two hundred forty-eight thousand".