345711318768 has 120 divisors (see below), whose sum is σ = 973995160320. Its totient is φ = 114465674880.

The previous prime is 345711318761. The next prime is 345711318779. The reversal of 345711318768 is 867813117543.

345711318768 is a `hidden beast` number, since 3 + 4 + 571 + 1 + 3 + 1 + 8 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345711318761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60531433 + ... + 60537143.

It is an arithmetic number, because the mean of its divisors is an integer number (8116626336).

Almost surely, 2^345711318768 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 345711318768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486997580160).

345711318768 is an abundant number, since it is smaller than the sum of its proper divisors (628283841552).

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

345711318768 is a wasteful number, since it uses less digits than its factorization.

345711318768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467 (or 8458 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 345711318768 in words is "three hundred forty-five billion, seven hundred eleven million, three hundred eighteen thousand, seven hundred sixty-eight".