32190656089761 has 135 divisors (see below), whose sum is σ = 52891999821507. Its totient is φ = 19502030227680.

The previous prime is 32190656089747. The next prime is 32190656089841. The reversal of 32190656089761 is 16798065609123.

The square root of 32190656089761 is 5673681.

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

32190656089761 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 0 + 6 + 560 + 8 + 9 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4761931374225 + 27428724715536 = 2182185^2 + 5237244^2 .

It is not a de Polignac number, because 32190656089761 - 2¹¹ = 32190656087713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32190656089741) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47131267726 + ... + 47131268408.

Almost surely, 2^{32190656089761} is an apocalyptic number.

32190656089761 is the 5673681-st square number.

32190656089761 is the 2836841-st centered octagonal number.

It is an amenable number.

32190656089761 is a deficient number, since it is larger than the sum of its proper divisors (20701343731746).

32190656089761 is an frugal number, since it uses more digits than its factorization.

32190656089761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 32190656089761 in words is "thirty-two trillion, one hundred ninety billion, six hundred fifty-six million, eighty-nine thousand, seven hundred sixty-one".