114776896000 has 640 divisors, whose sum is σ = 328163996160. Its totient is φ = 39739392000.

The previous prime is 114776895943. The next prime is 114776896001. The reversal of 114776896000 is 698677411.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (114776896001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616575965 + ... + 1616576035.

It is an arithmetic number, because the mean of its divisors is an integer number (512756244).

Almost surely, 2^114776896000 is an apocalyptic number.

114776896000 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 114776896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164081998080).

114776896000 is an abundant number, since it is smaller than the sum of its proper divisors (213387100160).

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

114776896000 is an equidigital number, since it uses as much as digits as its factorization.

114776896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The spelling of 114776896000 in words is "one hundred fourteen billion, seven hundred seventy-six million, eight hundred ninety-six thousand".