114731375616000 has 4480 divisors, whose sum is σ = 533040297229440. Its totient is φ = 24121442304000.

The previous prime is 114731375615959. The next prime is 114731375616019. The reversal of 114731375616000 is 616573137411.

114731375616000 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 3 + 1 + 37 + 5 + 6 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 201636863716 + ... + 201636864284.

It is an arithmetic number, because the mean of its divisors is an integer number (118982209203).

Almost surely, 2^{114731375616000} is an apocalyptic number.

114731375616000 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 114731375616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266520148614720).

114731375616000 is an abundant number, since it is smaller than the sum of its proper divisors (418308921613440).

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

114731375616000 is a wasteful number, since it uses less digits than its factorization.

114731375616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 114731375616000 in words is "one hundred fourteen trillion, seven hundred thirty-one billion, three hundred seventy-five million, six hundred sixteen thousand".