4162628223504 has 45 divisors (see below), whose sum is σ = 11649646116589. Its totient is φ = 1387534580160.

The previous prime is 4162628223443. The next prime is 4162628223539. The reversal of 4162628223504 is 4053228262614.

It is a happy number.

The square root of 4162628223504 is 2040252.

It is a perfect power (a square), and thus also a powerful number.

4162628223504 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 62 + 82 + 2 + 3 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2358227065104 + 1804401158400 = 1535652^2 + 1343280^2 .

It is a super-2 number, since 2×4162628223504² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4162628223504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24398014 + ... + 24568034.

Almost surely, 2^{4162628223504} is an apocalyptic number.

4162628223504 is the 2040252-nd square number.

It is an amenable number.

4162628223504 is an abundant number, since it is smaller than the sum of its proper divisors (7487017893085).

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

4162628223504 is an frugal number, since it uses more digits than its factorization.

4162628223504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340056 (or 170026 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4162628223504 in words is "four trillion, one hundred sixty-two billion, six hundred twenty-eight million, two hundred twenty-three thousand, five hundred four".