345363441228288 has 480 divisors, whose sum is σ = 1184730890703360. Its totient is φ = 94793048064000.

The previous prime is 345363441228287. The next prime is 345363441228293. The reversal of 345363441228288 is 882822144363543.

345363441228288 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 6 + 344 + 1 + 2 + 2 + 8 + 288 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345363441228287) 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, 92452788 + ... + 96115788.

It is an arithmetic number, because the mean of its divisors is an integer number (2468189355632).

Almost surely, 2^{345363441228288} 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 345363441228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592365445351680).

345363441228288 is an abundant number, since it is smaller than the sum of its proper divisors (839367449475072).

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

345363441228288 is a wasteful number, since it uses less digits than its factorization.

345363441228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663148 (or 3663129 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 345363441228288 in words is "three hundred forty-five trillion, three hundred sixty-three billion, four hundred forty-one million, two hundred twenty-eight thousand, two hundred eighty-eight".