345322848816 has 480 divisors, whose sum is σ = 1133869142016. Its totient is φ = 97106688000.

The previous prime is 345322848803. The next prime is 345322848841. The reversal of 345322848816 is 618848223543.

345322848816 is a `hidden beast` number, since 3 + 4 + 532 + 28 + 4 + 8 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128994870 + ... + 128997546.

Almost surely, 2^345322848816 is an apocalyptic number.

345322848816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345322848816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566934571008).

345322848816 is an abundant number, since it is smaller than the sum of its proper divisors (788546293200).

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

345322848816 is a wasteful number, since it uses less digits than its factorization.

345322848816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2832 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 345322848816 in words is "three hundred forty-five billion, three hundred twenty-two million, eight hundred forty-eight thousand, eight hundred sixteen".