345453530400224 has 24 divisors (see below), whose sum is σ = 703563763424760. Its totient is φ = 166770669847936.

The previous prime is 345453530400217. The next prime is 345453530400229. The reversal of 345453530400224 is 422004035354543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345453530400229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186127978814 + ... + 186127980669.

It is an arithmetic number, because the mean of its divisors is an integer number (29315156809365).

Almost surely, 2^{345453530400224} is an apocalyptic number.

It is an amenable number.

345453530400224 is an abundant number, since it is smaller than the sum of its proper divisors (358110233024536).

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

345453530400224 is a wasteful number, since it uses less digits than its factorization.

345453530400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372255959522 (or 372255959514 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 44.

Adding to 345453530400224 its reverse (422004035354543), we get a palindrome (767457565754767).

The spelling of 345453530400224 in words is "three hundred forty-five trillion, four hundred fifty-three billion, five hundred thirty million, four hundred thousand, two hundred twenty-four".