345305286144 has 720 divisors, whose sum is σ = 1294992146448. Its totient is φ = 91048624128.

The previous prime is 345305286121. The next prime is 345305286163. The reversal of 345305286144 is 441682503543.

345305286144 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 0 + 5 + 28 + 614 + 4 = 666.

It is a super-3 number, since 3×345305286144³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345305286144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79250814 + ... + 79255170.

Almost surely, 2^345305286144 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 345305286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647496073224).

345305286144 is an abundant number, since it is smaller than the sum of its proper divisors (949686860304).

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

345305286144 is an equidigital number, since it uses as much as digits as its factorization.

345305286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 345305286144 its reverse (441682503543), we get a palindrome (786987789687).

The spelling of 345305286144 in words is "three hundred forty-five billion, three hundred five million, two hundred eighty-six thousand, one hundred forty-four".