345117520000 has 320 divisors, whose sum is σ = 986629802400. Its totient is φ = 118886400000.

The previous prime is 345117519977. The next prime is 345117520051. The reversal of 345117520000 is 25711543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×345117520000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16709680 + ... + 16730320.

Almost surely, 2^345117520000 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 345117520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493314901200).

345117520000 is an abundant number, since it is smaller than the sum of its proper divisors (641512282400).

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

345117520000 is a wasteful number, since it uses less digits than its factorization.

345117520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20705 (or 20678 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 345117520000 in words is "three hundred forty-five billion, one hundred seventeen million, five hundred twenty thousand".