114447193660800 has 9216 divisors, whose sum is σ = 622869033830400. Its totient is φ = 19994148864000.

The previous prime is 114447193660799. The next prime is 114447193660823. The reversal of 114447193660800 is 8066391744411.

It is a happy number.

114447193660800 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 471 + 9 + 36 + 60 + 80 + 0 = 666.

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

It is a congruent number.

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 1151 ways as a sum of consecutive naturals, for example, 3691844956785 + ... + 3691844956815.

It is an arithmetic number, because the mean of its divisors is an integer number (67585615650).

Almost surely, 2^{114447193660800} is an apocalyptic number.

114447193660800 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 114447193660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311434516915200).

114447193660800 is an abundant number, since it is smaller than the sum of its proper divisors (508421840169600).

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

114447193660800 is a wasteful number, since it uses less digits than its factorization.

114447193660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 114447193660800 in words is "one hundred fourteen trillion, four hundred forty-seven billion, one hundred ninety-three million, six hundred sixty thousand, eight hundred".