114206976000 has 1536 divisors, whose sum is σ = 480801484800. Its totient is φ = 26542080000.

The previous prime is 114206975989. The next prime is 114206976007. The reversal of 114206976000 is 679602411.

114206976000 is a `hidden beast` number, since 1 + 1 + 42 + 0 + 6 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114206976007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2785535980 + ... + 2785536020.

It is an arithmetic number, because the mean of its divisors is an integer number (313021800).

Almost surely, 2^114206976000 is an apocalyptic number.

114206976000 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 114206976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240400742400).

114206976000 is an abundant number, since it is smaller than the sum of its proper divisors (366594508800).

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

114206976000 is a wasteful number, since it uses less digits than its factorization.

114206976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 114206976000 in words is "one hundred fourteen billion, two hundred six million, nine hundred seventy-six thousand".