32541634449 has 27 divisors (see below), whose sum is σ = 47429718843. Its totient is φ = 21499959312.

The previous prime is 32541634439. The next prime is 32541634487. The reversal of 32541634449 is 94443614523.

The square root of 32541634449 is 180393.

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

32541634449 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 1 + 634 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9538452225 + 23003182224 = 97665^2 + 151668^2 .

It is not a de Polignac number, because 32541634449 - 2²¹ = 32539537297 is a prime.

It is a super-2 number, since 2×32541634449² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32541634429) 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, 84964912 + ... + 84965294.

Almost surely, 2^32541634449 is an apocalyptic number.

32541634449 is the 180393-rd square number.

32541634449 is the 90197-th centered octagonal number.

It is an amenable number.

32541634449 is a deficient number, since it is larger than the sum of its proper divisors (14888084394).

32541634449 is an frugal number, since it uses more digits than its factorization.

32541634449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 32541634449 in words is "thirty-two billion, five hundred forty-one million, six hundred thirty-four thousand, four hundred forty-nine".