345860583248 has 80 divisors (see below), whose sum is σ = 728866444800. Its totient is φ = 158383019520.

The previous prime is 345860583227. The next prime is 345860583269. The reversal of 345860583248 is 842385068543.

It is an interprime number because it is at equal distance from previous prime (345860583227) and next prime (345860583269).

It is a junction number, because it is equal to n+sod(n) for n = 345860583193 and 345860583202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9528398 + ... + 9564626.

It is an arithmetic number, because the mean of its divisors is an integer number (9110830560).

Almost surely, 2^345860583248 is an apocalyptic number.

345860583248 is a gapful number since it is divisible by the number (38) 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 345860583248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364433222400).

345860583248 is an abundant number, since it is smaller than the sum of its proper divisors (383005861552).

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

345860583248 is a wasteful number, since it uses less digits than its factorization.

345860583248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37300 (or 37294 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 56.

The spelling of 345860583248 in words is "three hundred forty-five billion, eight hundred sixty million, five hundred eighty-three thousand, two hundred forty-eight".