114248360952000 has 784 divisors, whose sum is σ = 462774850241184. Its totient is φ = 27696556800000.

The previous prime is 114248360951771. The next prime is 114248360952029. The reversal of 114248360952000 is 259063842411.

114248360952000 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 483 + 60 + 95 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 63261550 + ... + 65042450.

Almost surely, 2^{114248360952000} is an apocalyptic number.

114248360952000 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 114248360952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231387425120592).

114248360952000 is an abundant number, since it is smaller than the sum of its proper divisors (348526489289184).

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

114248360952000 is an equidigital number, since it uses as much as digits as its factorization.

114248360952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780957 (or 1780922 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 114248360952000 in words is "one hundred fourteen trillion, two hundred forty-eight billion, three hundred sixty million, nine hundred fifty-two thousand".