114286965566400 has 504 divisors, whose sum is σ = 455106913217424. Its totient is φ = 26957120716800.

The previous prime is 114286965566381. The next prime is 114286965566483. The reversal of 114286965566400 is 4665569682411.

114286965566400 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 8 + 6 + 9 + 65 + 566 + 4 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3889317 + ... + 15610916.

Almost surely, 2^{114286965566400} is an apocalyptic number.

114286965566400 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 114286965566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227553456608712).

114286965566400 is an abundant number, since it is smaller than the sum of its proper divisors (340819947651024).

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

114286965566400 is a wasteful number, since it uses less digits than its factorization.

114286965566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19500309 (or 19500291 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 114286965566400 in words is "one hundred fourteen trillion, two hundred eighty-six billion, nine hundred sixty-five million, five hundred sixty-six thousand, four hundred".