116284329648960 has 672 divisors, whose sum is σ = 423614111993856. Its totient is φ = 26954807193600.

The previous prime is 116284329648947. The next prime is 116284329648979. The reversal of 116284329648960 is 69846923482611.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9700864087 + ... + 9700876073.

It is an arithmetic number, because the mean of its divisors is an integer number (630378142848).

Almost surely, 2^{116284329648960} is an apocalyptic number.

116284329648960 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 116284329648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211807055996928).

116284329648960 is an abundant number, since it is smaller than the sum of its proper divisors (307329782344896).

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

116284329648960 is a wasteful number, since it uses less digits than its factorization.

116284329648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15662 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

It can be divided in two parts, 1162843 and 29648960, that added together give a palindrome (30811803).

The spelling of 116284329648960 in words is "one hundred sixteen trillion, two hundred eighty-four billion, three hundred twenty-nine million, six hundred forty-eight thousand, nine hundred sixty".