114821968800000 has 1728 divisors, whose sum is σ = 477799386882048. Its totient is φ = 23780044800000.

The previous prime is 114821968799983. The next prime is 114821968800151. The reversal of 114821968800000 is 8869128411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67821599154 + ... + 67821600846.

It is an arithmetic number, because the mean of its divisors is an integer number (276504274816).

Almost surely, 2^{114821968800000} is an apocalyptic number.

114821968800000 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 114821968800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238899693441024).

114821968800000 is an abundant number, since it is smaller than the sum of its proper divisors (362977418082048).

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

114821968800000 is an equidigital number, since it uses as much as digits as its factorization.

114821968800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The spelling of 114821968800000 in words is "one hundred fourteen trillion, eight hundred twenty-one billion, nine hundred sixty-eight million, eight hundred thousand".