345261464000 has 448 divisors, whose sum is σ = 955160294400. Its totient is φ = 123019776000.

The previous prime is 345261463951. The next prime is 345261464027. The reversal of 345261464000 is 464162543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213255191 + ... + 213256809.

Almost surely, 2^345261464000 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 345261464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477580147200).

345261464000 is an abundant number, since it is smaller than the sum of its proper divisors (609898830400).

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

345261464000 is a wasteful number, since it uses less digits than its factorization.

345261464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 345261464000 in words is "three hundred forty-five billion, two hundred sixty-one million, four hundred sixty-four thousand".