345165465216 has 512 divisors, whose sum is σ = 1098568396800. Its totient is φ = 94648320000.

The previous prime is 345165465143. The next prime is 345165465217. The reversal of 345165465216 is 612564561543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (345165465217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1088849890 + ... + 1088850206.

It is an arithmetic number, because the mean of its divisors is an integer number (2145641400).

Almost surely, 2^345165465216 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 345165465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549284198400).

345165465216 is an abundant number, since it is smaller than the sum of its proper divisors (753402931584).

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

345165465216 is a wasteful number, since it uses less digits than its factorization.

345165465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The spelling of 345165465216 in words is "three hundred forty-five billion, one hundred sixty-five million, four hundred sixty-five thousand, two hundred sixteen".