2258831449014 has 128 divisors (see below), whose sum is σ = 5317931710464. Its totient is φ = 626123520000.

The previous prime is 2258831449013. The next prime is 2258831449037. The reversal of 2258831449014 is 4109441388522.

It is a happy number.

It is a super-4 number, since 4×2258831449014⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258831449013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1233659079 + ... + 1233660909.

It is an arithmetic number, because the mean of its divisors is an integer number (41546341488).

Almost surely, 2^{2258831449014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258831449014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658965855232).

2258831449014 is an abundant number, since it is smaller than the sum of its proper divisors (3059100261450).

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

2258831449014 is a wasteful number, since it uses less digits than its factorization.

2258831449014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742.

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 2258831449014 in words is "two trillion, two hundred fifty-eight billion, eight hundred thirty-one million, four hundred forty-nine thousand, fourteen".