345281433253344 has 576 divisors, whose sum is σ = 1153511830074240. Its totient is φ = 95932278374400.

The previous prime is 345281433253331. The next prime is 345281433253369. The reversal of 345281433253344 is 443352334182543.

345281433253344 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 8 + 1 + 43 + 3 + 253 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726803872 + ... + 6726855200.

It is an arithmetic number, because the mean of its divisors is an integer number (2002624704990).

Almost surely, 2^{345281433253344} 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 345281433253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576755915037120).

345281433253344 is an abundant number, since it is smaller than the sum of its proper divisors (808230396820896).

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

345281433253344 is a wasteful number, since it uses less digits than its factorization.

345281433253344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51963 (or 51952 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 345281433253344 in words is "three hundred forty-five trillion, two hundred eighty-one billion, four hundred thirty-three million, two hundred fifty-three thousand, three hundred forty-four".