114291000252 has 432 divisors, whose sum is σ = 364999654656. Its totient is φ = 29817216000.

The previous prime is 114291000209. The next prime is 114291000281. The reversal of 114291000252 is 252000192411.

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, 63108427 + ... + 63110237.

It is an arithmetic number, because the mean of its divisors is an integer number (844906608).

Almost surely, 2^114291000252 is an apocalyptic number.

114291000252 is a gapful number since it is divisible by the number (12) 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 114291000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182499827328).

114291000252 is an abundant number, since it is smaller than the sum of its proper divisors (250708654404).

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

114291000252 is a wasteful number, since it uses less digits than its factorization.

114291000252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 114291000252 its reverse (252000192411), we get a palindrome (366291192663).

The spelling of 114291000252 in words is "one hundred fourteen billion, two hundred ninety-one million, two hundred fifty-two", and thus it is an aban number.