438245324001 has 9 divisors (see below), whose sum is σ = 633023892241. Its totient is φ = 292162225332.

The previous prime is 438245323993. The next prime is 438245324009. The reversal of 438245324001 is 100423542834.

The square root of 438245324001 is 662001.

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

438245324001 is a `hidden beast` number, since 4 + 3 + 8 + 245 + 3 + 2 + 400 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (438245323993) and next prime (438245324009).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 438245324001 - 2³ = 438245323993 is a prime.

It is a super-4 number, since 4×438245324001⁴ (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (438245324009) by changing a digit.

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, 1875670 + ... + 2096336.

Almost surely, 2^438245324001 is an apocalyptic number.

438245324001 is the 662001-st square number.

438245324001 is the 331001-st centered octagonal number.

It is an amenable number.

438245324001 is a deficient number, since it is larger than the sum of its proper divisors (194778568240).

438245324001 is an frugal number, since it uses more digits than its factorization.

438245324001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441340 (or 220670 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 438245324001 by its sum of digits (36), we get a square (15776831664036 = 3972006²).

Adding to 438245324001 its reverse (100423542834), we get a palindrome (538668866835).

The spelling of 438245324001 in words is "four hundred thirty-eight billion, two hundred forty-five million, three hundred twenty-four thousand, one".