345563223552 has 120 divisors (see below), whose sum is σ = 1004600395656. Its totient is φ = 114346745856.

The previous prime is 345563223493. The next prime is 345563223601. The reversal of 345563223552 is 255322365543.

345563223552 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 632 + 2 + 3 + 5 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345563223498 and 345563223507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357603 + ... + 904989.

Almost surely, 2^345563223552 is an apocalyptic number.

345563223552 is a gapful number since it is divisible by the number (32) 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 345563223552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502300197828).

345563223552 is an abundant number, since it is smaller than the sum of its proper divisors (659037172104).

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

345563223552 is a wasteful number, since it uses less digits than its factorization.

345563223552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547548 (or 547529 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 45.

The spelling of 345563223552 in words is "three hundred forty-five billion, five hundred sixty-three million, two hundred twenty-three thousand, five hundred fifty-two".