7338794778441 has 27 divisors (see below), whose sum is σ = 12331267769223. Its totient is φ = 4193564508000.

The previous prime is 7338794778407. The next prime is 7338794778487. The reversal of 7338794778441 is 1448774978337.

The square root of 7338794778441 is 2709021.

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

7338794778441 is a `hidden beast` number, since 7 + 3 + 3 + 8 + 79 + 47 + 78 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2889901400841 + 4448893377600 = 1699971^2 + 2109240^2 .

It is not a de Polignac number, because 7338794778441 - 2⁴¹ = 5139771522889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7338794778441.

It is not an unprimeable number, because it can be changed into a prime (7338794773441) 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, 56824941 + ... + 56953941.

Almost surely, 2^{7338794778441} is an apocalyptic number.

7338794778441 is the 2709021-st square number.

7338794778441 is the 1354511-st centered octagonal number.

It is an amenable number.

7338794778441 is a deficient number, since it is larger than the sum of its proper divisors (4992472990782).

7338794778441 is an frugal number, since it uses more digits than its factorization.

7338794778441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258022 (or 129011 counting only the distinct ones).

The product of its digits is 796594176, while the sum is 72.

The spelling of 7338794778441 in words is "seven trillion, three hundred thirty-eight billion, seven hundred ninety-four million, seven hundred seventy-eight thousand, four hundred forty-one".