114244000000 has 315 divisors, whose sum is σ = 308801730881. Its totient is φ = 42182400000.

The previous prime is 114243999983. The next prime is 114244000007. The reversal of 114244000000 is 442411.

The square root of 114244000000 is 338000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 17 ways, for example, as 19123570944 + 95120429056 = 138288^2 + 308416^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114244000007) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 8787999994 + ... + 8788000006.

Almost surely, 2^114244000000 is an apocalyptic number.

114244000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114244000000 is the 338000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114244000000

114244000000 is an abundant number, since it is smaller than the sum of its proper divisors (194557730881).

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

114244000000 is an frugal number, since it uses more digits than its factorization.

114244000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Multiplying 114244000000 by its sum of digits (16), we get a square (1827904000000 = 1352000²).

114244000000 divided by its sum of digits (16) gives a square (7140250000 = 84500²).

Adding to 114244000000 its reverse (442411), we get a palindrome (114244442411).

The spelling of 114244000000 in words is "one hundred fourteen billion, two hundred forty-four million", and thus it is an aban number.