32144987819025 has 81 divisors (see below), whose sum is σ = 57764288696283. Its totient is φ = 17087886597600.

The previous prime is 32144987818997. The next prime is 32144987819057. The reversal of 32144987819025 is 52091878944123.

The square root of 32144987819025 is 5669655.

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

32144987819025 is a `hidden beast` number, since 3 + 2 + 1 + 449 + 8 + 7 + 81 + 90 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11572195614849 + 20572792204176 = 3401793^2 + 4535724^2 .

It is not a de Polignac number, because 32144987819025 - 2¹⁹ = 32144987294737 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 46519518930 + ... + 46519519620.

Almost surely, 2^{32144987819025} is an apocalyptic number.

32144987819025 is the 5669655-th square number.

32144987819025 is the 2834828-th centered octagonal number.

It is an amenable number.

32144987819025 is a deficient number, since it is larger than the sum of its proper divisors (25619300877258).

32144987819025 is an frugal number, since it uses more digits than its factorization.

32144987819025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 32144987819025 in words is "thirty-two trillion, one hundred forty-four billion, nine hundred eighty-seven million, eight hundred nineteen thousand, twenty-five".