115644445862400 has 2880 divisors, whose sum is σ = 521365008003840. Its totient is φ = 23830541107200.

The previous prime is 115644445862311. The next prime is 115644445862401. The reversal of 115644445862400 is 4268544446511.

115644445862400 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 4 + 4 + 4 + 4 + 5 + 8 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (115644445862401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 111950092284 + ... + 111950093316.

It is an arithmetic number, because the mean of its divisors is an integer number (181029516668).

Almost surely, 2^{115644445862400} is an apocalyptic number.

115644445862400 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 115644445862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260682504001920).

115644445862400 is an abundant number, since it is smaller than the sum of its proper divisors (405720562141440).

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

115644445862400 is a wasteful number, since it uses less digits than its factorization.

115644445862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 115644445862400 in words is "one hundred fifteen trillion, six hundred forty-four billion, four hundred forty-five million, eight hundred sixty-two thousand, four hundred".