114819793920000 has 3360 divisors, whose sum is σ = 479901048506880. Its totient is φ = 27232174080000.

The previous prime is 114819793919993. The next prime is 114819793920043. The reversal of 114819793920000 is 29397918411.

114819793920000 is a `hidden beast` number, since 1 + 1 + 481 + 9 + 79 + 3 + 92 + 0 + 0 + 0 + 0 = 666.

114819793920000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 501396479886 + ... + 501396480114.

It is an arithmetic number, because the mean of its divisors is an integer number (142827693008).

Almost surely, 2^{114819793920000} is an apocalyptic number.

114819793920000 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 114819793920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239950524253440).

114819793920000 is an abundant number, since it is smaller than the sum of its proper divisors (365081254586880).

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

114819793920000 is an frugal number, since it uses more digits than its factorization.

114819793920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 114819793920000 in words is "one hundred fourteen trillion, eight hundred nineteen billion, seven hundred ninety-three million, nine hundred twenty thousand".