345222303222544 has 320 divisors, whose sum is σ = 750514898757888. Its totient is φ = 152530727731200.

The previous prime is 345222303222497. The next prime is 345222303222547. The reversal of 345222303222544 is 445222303222543.

It is a super-2 number, since 2×345222303222544² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345222303222544.

It is not an unprimeable number, because it can be changed into a prime (345222303222547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78944041542 + ... + 78944045914.

Almost surely, 2^{345222303222544} 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 345222303222544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375257449378944).

345222303222544 is an abundant number, since it is smaller than the sum of its proper divisors (405292595535344).

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

345222303222544 is a wasteful number, since it uses less digits than its factorization.

345222303222544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 43.

Subtracting 345222303222544 from its reverse (445222303222543), we obtain a palindrome (99999999999999).

The spelling of 345222303222544 in words is "three hundred forty-five trillion, two hundred twenty-two billion, three hundred three million, two hundred twenty-two thousand, five hundred forty-four".