442211201621645 has 16 divisors (see below), whose sum is σ = 533363133373488. Its totient is φ = 351962608220160.

The previous prime is 442211201621603. The next prime is 442211201621687. The reversal of 442211201621645 is 546126102112244.

It is an interprime number because it is at equal distance from previous prime (442211201621603) and next prime (442211201621687).

It can be written as a sum of positive squares in 8 ways, for example, as 105562904933161 + 336648296688484 = 10274381^2 + 18347978^2 .

It is a de Polignac number, because none of the positive numbers 2^k-442211201621645 is a prime.

It is a super-3 number, since 3×442211201621645³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

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, 26150975 + ... + 39601715.

It is an arithmetic number, because the mean of its divisors is an integer number (33335195835843).

Almost surely, 2^{442211201621645} is an apocalyptic number.

It is an amenable number.

442211201621645 is a deficient number, since it is larger than the sum of its proper divisors (91151931751843).

442211201621645 is a wasteful number, since it uses less digits than its factorization.

442211201621645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13484320.

The product of its (nonzero) digits is 184320, while the sum is 41.

Adding to 442211201621645 its reverse (546126102112244), we get a palindrome (988337303733889).

The spelling of 442211201621645 in words is "four hundred forty-two trillion, two hundred eleven billion, two hundred one million, six hundred twenty-one thousand, six hundred forty-five".