114331141002 has 128 divisors (see below), whose sum is σ = 266648578560. Its totient is φ = 32387604480.

The previous prime is 114331140997. The next prime is 114331141003. The reversal of 114331141002 is 200141133411.

It is a super-4 number, since 4×114331141002⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114331141002.

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

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17529502 + ... + 17536022.

It is an arithmetic number, because the mean of its divisors is an integer number (2083192020).

Almost surely, 2^114331141002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114331141002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324289280).

114331141002 is an abundant number, since it is smaller than the sum of its proper divisors (152317437558).

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

114331141002 is a wasteful number, since it uses less digits than its factorization.

114331141002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114331141002 its reverse (200141133411), we get a palindrome (314472274413).

The spelling of 114331141002 in words is "one hundred fourteen billion, three hundred thirty-one million, one hundred forty-one thousand, two".