345268579968 has 256 divisors, whose sum is σ = 1132812979200. Its totient is φ = 102809088000.

The previous prime is 345268579963. The next prime is 345268579979. The reversal of 345268579968 is 869975862543.

It is a happy number.

345268579968 is a `hidden beast` number, since 3 + 4 + 526 + 8 + 5 + 7 + 9 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 345268579896 and 345268579905.

It is not an unprimeable number, because it can be changed into a prime (345268579963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268818 + ... + 1516718.

It is an arithmetic number, because the mean of its divisors is an integer number (4425050700).

Almost surely, 2^345268579968 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 345268579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566406489600).

345268579968 is an abundant number, since it is smaller than the sum of its proper divisors (787544399232).

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

345268579968 is a wasteful number, since it uses less digits than its factorization.

345268579968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247968 (or 247950 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 345268579968 in words is "three hundred forty-five billion, two hundred sixty-eight million, five hundred seventy-nine thousand, nine hundred sixty-eight".