445386202430625 has 135 divisors (see below), whose sum is σ = 821517855555397. Its totient is φ = 232446448452000.

The previous prime is 445386202430591. The next prime is 445386202430651. The reversal of 445386202430625 is 526034202683544.

The square root of 445386202430625 is 21104175.

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

445386202430625 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 8 + 6 + 2 + 0 + 2 + 4 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34918278270561 + 410467924160064 = 5909169^2 + 20260008^2 .

It is not a de Polignac number, because 445386202430625 - 2¹⁹ = 445386201906337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 74392213882 + ... + 74392219868.

Almost surely, 2^{445386202430625} is an apocalyptic number.

445386202430625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

445386202430625 is the 21104175-th square number.

445386202430625 is the 10552088-th centered octagonal number.

It is an amenable number.

445386202430625 is a deficient number, since it is larger than the sum of its proper divisors (376131653124772).

445386202430625 is an frugal number, since it uses more digits than its factorization.

445386202430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12094 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 445386202430625 in words is "four hundred forty-five trillion, three hundred eighty-six billion, two hundred two million, four hundred thirty thousand, six hundred twenty-five".