114331141000 has 128 divisors (see below), whose sum is σ = 272398145760. Its totient is φ = 44903808000.

The previous prime is 114331140997. The next prime is 114331141003. The reversal of 114331141000 is 141133411.

It is an interprime number because it is at equal distance from previous prime (114331140997) and next prime (114331141003).

It can be written as a sum of positive squares in 16 ways, for example, as 6028280164 + 108302860836 = 77642^2 + 329094^2 .

It is not an unprimeable number, because it can be changed into a prime (114331141003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44711722 + ... + 44714278.

Almost surely, 2^114331141000 is an apocalyptic number.

114331141000 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 114331141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136199072880).

114331141000 is an abundant number, since it is smaller than the sum of its proper divisors (158067004760).

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

114331141000 is a wasteful number, since it uses less digits than its factorization.

114331141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 114331141000 its reverse (141133411), we get a palindrome (114472274411).

The spelling of 114331141000 in words is "one hundred fourteen billion, three hundred thirty-one million, one hundred forty-one thousand".