116348221540800 has 1344 divisors, whose sum is σ = 444378263367680. Its totient is φ = 29946881433600.

The previous prime is 116348221540717. The next prime is 116348221540801. The reversal of 116348221540800 is 8045122843611.

116348221540800 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 4 + 8 + 2 + 21 + 540 + 80 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116348221540801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49573165227 + ... + 49573167573.

Almost surely, 2^{116348221540800} is an apocalyptic number.

116348221540800 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 116348221540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222189131683840).

116348221540800 is an abundant number, since it is smaller than the sum of its proper divisors (328030041826880).

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

116348221540800 is an equidigital number, since it uses as much as digits as its factorization.

116348221540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 116348221540800 in words is "one hundred sixteen trillion, three hundred forty-eight billion, two hundred twenty-one million, five hundred forty thousand, eight hundred".