115494140044800 has 4800 divisors, whose sum is σ = 504153574391808. Its totient is φ = 25848668160000.

The previous prime is 115494140044763. The next prime is 115494140044807. The reversal of 115494140044800 is 8440041494511.

115494140044800 is a `hidden beast` number, since 1 + 1 + 5 + 494 + 1 + 40 + 0 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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 (115494140044807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1079384486347 + ... + 1079384486453.

Almost surely, 2^{115494140044800} is an apocalyptic number.

115494140044800 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 115494140044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252076787195904).

115494140044800 is an abundant number, since it is smaller than the sum of its proper divisors (388659434347008).

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

115494140044800 is a wasteful number, since it uses less digits than its factorization.

115494140044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

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

The spelling of 115494140044800 in words is "one hundred fifteen trillion, four hundred ninety-four billion, one hundred forty million, forty-four thousand, eight hundred".