114960384000 has 1680 divisors, whose sum is σ = 536355421056. Its totient is φ = 23887872000.

The previous prime is 114960383977. The next prime is 114960384001. The reversal of 114960384000 is 483069411.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 5! ⋅ 2!.

114960384000 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 603 + 8 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (114960384001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10450943995 + ... + 10450944005.

Almost surely, 2^114960384000 is an apocalyptic number.

114960384000 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 114960384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268177710528).

114960384000 is an abundant number, since it is smaller than the sum of its proper divisors (421395037056).

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

114960384000 is an frugal number, since it uses more digits than its factorization.

114960384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 114960384000 in words is "one hundred fourteen billion, nine hundred sixty million, three hundred eighty-four thousand".