32839421063761 has 81 divisors (see below), whose sum is σ = 37103879494929. Its totient is φ = 29051509224192.

The previous prime is 32839421063749. The next prime is 32839421063777. The reversal of 32839421063761 is 16736012493823.

It is a happy number.

The square root of 32839421063761 is 5730569.

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 24506153236161 + 8333267827600 = 4950369^2 + 2886740^2 .

It is not a de Polignac number, because 32839421063761 - 2³³ = 32830831129169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32839421066761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 290614345641 + ... + 290614345753.

Almost surely, 2^{32839421063761} is an apocalyptic number.

32839421063761 is the 5730569-th square number.

32839421063761 is the 2865285-th centered octagonal number.

It is an amenable number.

32839421063761 is a deficient number, since it is larger than the sum of its proper divisors (4264458431168).

32839421063761 is an frugal number, since it uses more digits than its factorization.

32839421063761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 32839421063761 in words is "thirty-two trillion, eight hundred thirty-nine billion, four hundred twenty-one million, sixty-three thousand, seven hundred sixty-one".