345661223776 has 96 divisors (see below), whose sum is σ = 773851034880. Its totient is φ = 150542246400.

The previous prime is 345661223741. The next prime is 345661223777. The reversal of 345661223776 is 677322166543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345661223777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208005 + ... + 1466491.

It is an arithmetic number, because the mean of its divisors is an integer number (8060948280).

Almost surely, 2^345661223776 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 345661223776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386925517440).

345661223776 is an abundant number, since it is smaller than the sum of its proper divisors (428189811104).

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

345661223776 is a wasteful number, since it uses less digits than its factorization.

345661223776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258668 (or 258660 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 52.

The spelling of 345661223776 in words is "three hundred forty-five billion, six hundred sixty-one million, two hundred twenty-three thousand, seven hundred seventy-six".