345107384818560 has 960 divisors, whose sum is σ = 1543936951861920. Its totient is φ = 72813858840576.

The previous prime is 345107384818549. The next prime is 345107384818579. The reversal of 345107384818560 is 65818483701543.

It is a happy number.

345107384818560 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 0 + 73 + 8 + 481 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27796677 + ... + 38247483.

Almost surely, 2^{345107384818560} is an apocalyptic number.

345107384818560 is a gapful number since it is divisible by the number (30) 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 345107384818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771968475930960).

345107384818560 is an abundant number, since it is smaller than the sum of its proper divisors (1198829567043360).

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

345107384818560 is a wasteful number, since it uses less digits than its factorization.

345107384818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10450865 (or 10450837 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 345107384818560 in words is "three hundred forty-five trillion, one hundred seven billion, three hundred eighty-four million, eight hundred eighteen thousand, five hundred sixty".