114437448000 has 1008 divisors, whose sum is σ = 446453751744. Its totient is φ = 29001369600.

The previous prime is 114437447977. The next prime is 114437448067. The reversal of 114437448000 is 844734411.

It is a happy number.

114437448000 is a `hidden beast` number, since 1 + 144 + 37 + 4 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2661335979 + ... + 2661336021.

It is an arithmetic number, because the mean of its divisors is an integer number (442910468).

Almost surely, 2^114437448000 is an apocalyptic number.

114437448000 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 114437448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223226875872).

114437448000 is an abundant number, since it is smaller than the sum of its proper divisors (332016303744).

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

114437448000 is an frugal number, since it uses more digits than its factorization.

114437448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 114437448000 in words is "one hundred fourteen billion, four hundred thirty-seven million, four hundred forty-eight thousand".