114045052000 has 384 divisors, whose sum is σ = 318993292800. Its totient is φ = 39691008000.

The previous prime is 114045051977. The next prime is 114045052003. The reversal of 114045052000 is 250540411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114045052003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177363679 + ... + 177364321.

It is an arithmetic number, because the mean of its divisors is an integer number (830711700).

Almost surely, 2^114045052000 is an apocalyptic number.

114045052000 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 114045052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159496646400).

114045052000 is an abundant number, since it is smaller than the sum of its proper divisors (204948240800).

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

114045052000 is a wasteful number, since it uses less digits than its factorization.

114045052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 114045052000 its reverse (250540411), we get a palindrome (114295592411).

The spelling of 114045052000 in words is "one hundred fourteen billion, forty-five million, fifty-two thousand".