345917167236368 has 240 divisors, whose sum is σ = 841102203138624. Its totient is φ = 136603177159680.

The previous prime is 345917167236287. The next prime is 345917167236373. The reversal of 345917167236368 is 863632761719543.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28360834046 + ... + 28360846242.

Almost surely, 2^{345917167236368} 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 345917167236368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420551101569312).

345917167236368 is an abundant number, since it is smaller than the sum of its proper divisors (495185035902256).

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

345917167236368 is a wasteful number, since it uses less digits than its factorization.

345917167236368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950 (or 16937 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 71.

The spelling of 345917167236368 in words is "three hundred forty-five trillion, nine hundred seventeen billion, one hundred sixty-seven million, two hundred thirty-six thousand, three hundred sixty-eight".