420522832566145 has 48 divisors (see below), whose sum is σ = 510612820084080. Its totient is φ = 332473885286400.

The previous prime is 420522832566127. The next prime is 420522832566169. The reversal of 420522832566145 is 541665238225024.

It can be written as a sum of positive squares in 24 ways, for example, as 111002744494656 + 309520088071489 = 10535784^2 + 17593183^2 .

It is not a de Polignac number, because 420522832566145 - 2¹⁹ = 420522832041857 is a prime.

It is a super-2 number, since 2×420522832566145² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122494269349 + ... + 122494272781.

It is an arithmetic number, because the mean of its divisors is an integer number (10637767085085).

Almost surely, 2^{420522832566145} is an apocalyptic number.

It is an amenable number.

420522832566145 is a deficient number, since it is larger than the sum of its proper divisors (90089987517935).

420522832566145 is a wasteful number, since it uses less digits than its factorization.

420522832566145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7366 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 55.

The spelling of 420522832566145 in words is "four hundred twenty trillion, five hundred twenty-two billion, eight hundred thirty-two million, five hundred sixty-six thousand, one hundred forty-five".