938335046385025 has 27 divisors (see below), whose sum is σ = 1165570960915881. Its totient is φ = 749357099123040.

The previous prime is 938335046384993. The next prime is 938335046385089. The reversal of 938335046385025 is 520583640533839.

It is a happy number.

The square root of 938335046385025 is 30632255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16328056558401 + 922006989826624 = 4040799^2 + 30364568^2 .

It is not a de Polignac number, because 938335046385025 - 2⁵ = 938335046384993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92968888879 + ... + 92968898971.

Almost surely, 2^{938335046385025} is an apocalyptic number.

938335046385025 is the 30632255-th square number.

938335046385025 is the 15316128-th centered octagonal number.

It is an amenable number.

938335046385025 is a deficient number, since it is larger than the sum of its proper divisors (227235914530856).

938335046385025 is an frugal number, since it uses more digits than its factorization.

938335046385025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21410 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 279936000, while the sum is 64.

The spelling of 938335046385025 in words is "nine hundred thirty-eight trillion, three hundred thirty-five billion, forty-six million, three hundred eighty-five thousand, twenty-five".