114494313585600 has 672 divisors, whose sum is σ = 450176026890240. Its totient is φ = 28139566510080.

The previous prime is 114494313585593. The next prime is 114494313585601. The reversal of 114494313585600 is 6585313494411.

114494313585600 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 9 + 43 + 1 + 35 + 8 + 560 + 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 not an unprimeable number, because it can be changed into a prime (114494313585601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363197649 + ... + 363512751.

It is an arithmetic number, because the mean of its divisors is an integer number (669904801920).

Almost surely, 2^{114494313585600} is an apocalyptic number.

114494313585600 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 114494313585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225088013445120).

114494313585600 is an abundant number, since it is smaller than the sum of its proper divisors (335681713304640).

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

114494313585600 is a wasteful number, since it uses less digits than its factorization.

114494313585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315794 (or 315773 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 114494313585600 in words is "one hundred fourteen trillion, four hundred ninety-four billion, three hundred thirteen million, five hundred eighty-five thousand, six hundred".