442404522151345 has 16 divisors (see below), whose sum is σ = 577616816241360. Its totient is φ = 323330695962624.

The previous prime is 442404522151337. The next prime is 442404522151367. The reversal of 442404522151345 is 543151225404244.

It can be written as a sum of positive squares in 8 ways, for example, as 102454155217296 + 339950366934049 = 10121964^2 + 18437743^2 .

It is a cyclic number.

It is not a de Polignac number, because 442404522151345 - 2³ = 442404522151337 is a prime.

It is a super-2 number, since 2×442404522151345² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442404522151295 and 442404522151304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35083619560 + ... + 35083632169.

It is an arithmetic number, because the mean of its divisors is an integer number (36101051015085).

Almost surely, 2^{442404522151345} is an apocalyptic number.

It is an amenable number.

442404522151345 is a deficient number, since it is larger than the sum of its proper divisors (135212294090015).

442404522151345 is a wasteful number, since it uses less digits than its factorization.

442404522151345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70167251844.

The product of its (nonzero) digits is 3072000, while the sum is 46.

Adding to 442404522151345 its reverse (543151225404244), we get a palindrome (985555747555589).

The spelling of 442404522151345 in words is "four hundred forty-two trillion, four hundred four billion, five hundred twenty-two million, one hundred fifty-one thousand, three hundred forty-five".