438483676761 has 27 divisors (see below), whose sum is σ = 685873838559. Its totient is φ = 269820216432.

The previous prime is 438483676739. The next prime is 438483676793. The reversal of 438483676761 is 167676384834.

The square root of 438483676761 is 662181.

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

438483676761 is a `hidden beast` number, since 4 + 38 + 483 + 6 + 7 + 67 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64864449225 + 373619227536 = 254685^2 + 611244^2 .

It is a de Polignac number, because none of the positive numbers 2^k-438483676761 is a prime.

It is a super-2 number, since 2×438483676761² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (438483676721) 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, 25816570 + ... + 25833548.

Almost surely, 2^438483676761 is an apocalyptic number.

438483676761 is the 662181-st square number.

438483676761 is the 331091-st centered octagonal number.

It is an amenable number.

438483676761 is a deficient number, since it is larger than the sum of its proper divisors (247390161798).

438483676761 is an frugal number, since it uses more digits than its factorization.

438483676761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33990 (or 16995 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 438483676761 in words is "four hundred thirty-eight billion, four hundred eighty-three million, six hundred seventy-six thousand, seven hundred sixty-one".