345065569758 has 96 divisors (see below), whose sum is σ = 920710994112. Its totient is φ = 90953280000.

The previous prime is 345065569753. The next prime is 345065569813. The reversal of 345065569758 is 857965560543.

It is a happy number.

345065569758 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 6 + 556 + 9 + 75 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 345065569695 and 345065569704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345065569753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2791258 + ... + 2912258.

It is an arithmetic number, because the mean of its divisors is an integer number (9590739522).

Almost surely, 2^345065569758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345065569758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460355497056).

345065569758 is an abundant number, since it is smaller than the sum of its proper divisors (575645424354).

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

345065569758 is a wasteful number, since it uses less digits than its factorization.

345065569758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122770 (or 122767 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 345065569758 in words is "three hundred forty-five billion, sixty-five million, five hundred sixty-nine thousand, seven hundred fifty-eight".