114264192000 has 352 divisors, whose sum is σ = 434393706240. Its totient is φ = 26116915200.

The previous prime is 114264191971. The next prime is 114264192023. The reversal of 114264192000 is 291462411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2666746 + ... + 2709254.

Almost surely, 2^114264192000 is an apocalyptic number.

114264192000 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 114264192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217196853120).

114264192000 is an abundant number, since it is smaller than the sum of its proper divisors (320129514240).

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

114264192000 is an equidigital number, since it uses as much as digits as its factorization.

114264192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42554 (or 42526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 114264192000 in words is "one hundred fourteen billion, two hundred sixty-four million, one hundred ninety-two thousand".