2254313345735 has 24 divisors (see below), whose sum is σ = 3024834869808. Its totient is φ = 1599512729600.

The previous prime is 2254313345729. The next prime is 2254313345759. The reversal of 2254313345735 is 5375433134522.

It is not a de Polignac number, because 2254313345735 - 2⁶ = 2254313345671 is a prime.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2254313345735.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12098954 + ... + 12283863.

It is an arithmetic number, because the mean of its divisors is an integer number (126034786242).

Almost surely, 2^{2254313345735} is an apocalyptic number.

2254313345735 is a deficient number, since it is larger than the sum of its proper divisors (770521524073).

2254313345735 is a wasteful number, since it uses less digits than its factorization.

2254313345735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24382915 (or 24382874 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 47.

The spelling of 2254313345735 in words is "two trillion, two hundred fifty-four billion, three hundred thirteen million, three hundred forty-five thousand, seven hundred thirty-five".