32130837917649 has 63 divisors (see below), whose sum is σ = 48534151881313. Its totient is φ = 21261695837184.

The previous prime is 32130837917623. The next prime is 32130837917653. The reversal of 32130837917649 is 94671973803123.

It is a happy number.

The square root of 32130837917649 is 5668407.

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

32130837917649 is a `hidden beast` number, since 3 + 21 + 30 + 8 + 379 + 176 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25735907325249 + 6394930592400 = 5073057^2 + 2528820^2 .

It is not a de Polignac number, because 32130837917649 - 2⁴¹ = 29931814662097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32130837917609) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22804000657 + ... + 22804002065.

Almost surely, 2^{32130837917649} is an apocalyptic number.

32130837917649 is the 5668407-th square number.

32130837917649 is the 2834204-th centered octagonal number.

It is an amenable number.

32130837917649 is a deficient number, since it is larger than the sum of its proper divisors (16403313963664).

32130837917649 is an frugal number, since it uses more digits than its factorization.

32130837917649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 32130837917649 in words is "thirty-two trillion, one hundred thirty billion, eight hundred thirty-seven million, nine hundred seventeen thousand, six hundred forty-nine".