345645398784 has 288 divisors, whose sum is σ = 1077620346880. Its totient is φ = 96294998016.

The previous prime is 345645398779. The next prime is 345645398831. The reversal of 345645398784 is 487893546543.

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, 212442579 + ... + 212444205.

Almost surely, 2^345645398784 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 345645398784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538810173440).

345645398784 is an abundant number, since it is smaller than the sum of its proper divisors (731974948096).

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

345645398784 is a wasteful number, since it uses less digits than its factorization.

345645398784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2601 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 66.

The spelling of 345645398784 in words is "three hundred forty-five billion, six hundred forty-five million, three hundred ninety-eight thousand, seven hundred eighty-four".