345418258944 has 320 divisors, whose sum is σ = 1033122625920. Its totient is φ = 101646336000.

The previous prime is 345418258931. The next prime is 345418258957. The reversal of 345418258944 is 449852814543.

It is an interprime number because it is at equal distance from previous prime (345418258931) and next prime (345418258957).

It is a super-2 number, since 2×345418258944² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166948342 + ... + 166950410.

It is an arithmetic number, because the mean of its divisors is an integer number (3228508206).

Almost surely, 2^345418258944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345418258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516561312960).

345418258944 is an abundant number, since it is smaller than the sum of its proper divisors (687704366976).

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

345418258944 is a wasteful number, since it uses less digits than its factorization.

345418258944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 57.

The spelling of 345418258944 in words is "three hundred forty-five billion, four hundred eighteen million, two hundred fifty-eight thousand, nine hundred forty-four".