438765213825 has 96 divisors (see below), whose sum is σ = 839809105920. Its totient is φ = 224341876800.

The previous prime is 438765213797. The next prime is 438765213853. The reversal of 438765213825 is 528312567834.

438765213825 is a `hidden beast` number, since 4 + 3 + 87 + 6 + 521 + 38 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (438765213797) and next prime (438765213853).

It is not a de Polignac number, because 438765213825 - 2⁵ = 438765213793 is a prime.

It is a super-2 number, since 2×438765213825² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2140992 + ... + 2336958.

It is an arithmetic number, because the mean of its divisors is an integer number (8748011520).

Almost surely, 2^438765213825 is an apocalyptic number.

438765213825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

438765213825 is a deficient number, since it is larger than the sum of its proper divisors (401043892095).

438765213825 is a wasteful number, since it uses less digits than its factorization.

438765213825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196124 (or 196113 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 438765213825 in words is "four hundred thirty-eight billion, seven hundred sixty-five million, two hundred thirteen thousand, eight hundred twenty-five".