938288634409 has 27 divisors (see below), whose sum is σ = 1107636383991. Its totient is φ = 792513138480.

The previous prime is 938288634319. The next prime is 938288634419. The reversal of 938288634409 is 904436882839.

The square root of 938288634409 is 968653.

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

It can be written as a sum of positive squares in only one way, i.e., 755600778009 + 182687856400 = 869253^2 + 427420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-938288634409 is a prime.

It is a super-2 number, since 2×938288634409² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (938288634419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 481419567 + ... + 481421515.

Almost surely, 2^938288634409 is an apocalyptic number.

938288634409 is the 968653-rd square number.

938288634409 is the 484327-th centered octagonal number.

It is an amenable number.

938288634409 is a deficient number, since it is larger than the sum of its proper divisors (169347749582).

938288634409 is an frugal number, since it uses more digits than its factorization.

938288634409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

Multiplying 938288634409 by its sum of digits (64), we get a square (60050472602176 = 7749224²).

The spelling of 938288634409 in words is "nine hundred thirty-eight billion, two hundred eighty-eight million, six hundred thirty-four thousand, four hundred nine".