116213460480 has 800 divisors, whose sum is σ = 472058848800. Its totient is φ = 27088846848.

The previous prime is 116213460457. The next prime is 116213460481. The reversal of 116213460480 is 84064312611.

116213460480 is a `hidden beast` number, since 1 + 16 + 2 + 1 + 34 + 604 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116213460481) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 51216786 + ... + 51219054.

It is an arithmetic number, because the mean of its divisors is an integer number (590073561).

Almost surely, 2^116213460480 is an apocalyptic number.

116213460480 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 116213460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236029424400).

116213460480 is an abundant number, since it is smaller than the sum of its proper divisors (355845388320).

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

116213460480 is a wasteful number, since it uses less digits than its factorization.

116213460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 116213460480 in words is "one hundred sixteen billion, two hundred thirteen million, four hundred sixty thousand, four hundred eighty".