115846450629120 has 320 divisors, whose sum is σ = 411685628112000. Its totient is φ = 30878169366528.

The previous prime is 115846450629079. The next prime is 115846450629149. The reversal of 115846450629120 is 21926054648511.

It is a happy number.

115846450629120 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 4 + 6 + 4 + 5 + 0 + 629 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 150227896 + ... + 150997064.

It is an arithmetic number, because the mean of its divisors is an integer number (1286517587850).

Almost surely, 2^{115846450629120} is an apocalyptic number.

115846450629120 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 115846450629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205842814056000).

115846450629120 is an abundant number, since it is smaller than the sum of its proper divisors (295839177482880).

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

115846450629120 is an equidigital number, since it uses as much as digits as its factorization.

115846450629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771380 (or 771358 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 115846450629120 in words is "one hundred fifteen trillion, eight hundred forty-six billion, four hundred fifty million, six hundred twenty-nine thousand, one hundred twenty".