116515044461200 has 480 divisors, whose sum is σ = 353339006856192. Its totient is φ = 35865241344000.

The previous prime is 116515044461191. The next prime is 116515044461303. The reversal of 116515044461200 is 2164440515611.

116515044461200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8315962195 + ... + 8315976205.

Almost surely, 2^{116515044461200} is an apocalyptic number.

116515044461200 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 116515044461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176669503428096).

116515044461200 is an abundant number, since it is smaller than the sum of its proper divisors (236823962394992).

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

116515044461200 is a wasteful number, since it uses less digits than its factorization.

116515044461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17383 (or 17372 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 116515044461200 its reverse (2164440515611), we get a palindrome (118679484976811).

The spelling of 116515044461200 in words is "one hundred sixteen trillion, five hundred fifteen billion, forty-four million, four hundred sixty-one thousand, two hundred".