116241020392224 has 384 divisors, whose sum is σ = 395675886735360. Its totient is φ = 29016830029824.

The previous prime is 116241020392207. The next prime is 116241020392247. The reversal of 116241020392224 is 422293020142611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181100149 + ... + 181740875.

It is an arithmetic number, because the mean of its divisors is an integer number (1030405955040).

Almost surely, 2^{116241020392224} is an apocalyptic number.

116241020392224 is a gapful number since it is divisible by the number (14) 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 116241020392224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197837943367680).

116241020392224 is an abundant number, since it is smaller than the sum of its proper divisors (279434866343136).

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

116241020392224 is a wasteful number, since it uses less digits than its factorization.

116241020392224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641872 (or 641864 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 116241020392224 in words is "one hundred sixteen trillion, two hundred forty-one billion, twenty million, three hundred ninety-two thousand, two hundred twenty-four".