345819268096 has 297 divisors, whose sum is σ = 784355431909. Its totient is φ = 152350916608.

The previous prime is 345819268061. The next prime is 345819268117. The reversal of 345819268096 is 690862918543.

The square root of 345819268096 is 588064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 269236454400 + 76582813696 = 518880^2 + 276736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7357856745 + ... + 7357856791.

Almost surely, 2^345819268096 is an apocalyptic number.

345819268096 is the 588064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345819268096

345819268096 is an abundant number, since it is smaller than the sum of its proper divisors (438536163813).

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

345819268096 is an equidigital number, since it uses as much as digits as its factorization.

345819268096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 345819268096 in words is "three hundred forty-five billion, eight hundred nineteen million, two hundred sixty-eight thousand, ninety-six".