32864777993961 has 9 divisors (see below), whose sum is σ = 47471370833341. Its totient is φ = 21909840530412.

The previous prime is 32864777993953. The next prime is 32864777993977. The reversal of 32864777993961 is 16939977746823.

It is a happy number.

The square root of 32864777993961 is 5732781.

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

32864777993961 is a `hidden beast` number, since 3 + 2 + 86 + 477 + 7 + 9 + 9 + 3 + 9 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 32864777993961 - 2³ = 32864777993953 is a prime.

It is a super-2 number, since 2×32864777993961² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32864777993951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16242880 + ... + 18153806.

Almost surely, 2^{32864777993961} is an apocalyptic number.

32864777993961 is the 5732781-st square number.

32864777993961 is the 2866391-st centered octagonal number.

It is an amenable number.

32864777993961 is a deficient number, since it is larger than the sum of its proper divisors (14606592839380).

32864777993961 is an frugal number, since it uses more digits than its factorization.

32864777993961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821860 (or 1910930 counting only the distinct ones).

The product of its digits is 5184974592, while the sum is 81.

The spelling of 32864777993961 in words is "thirty-two trillion, eight hundred sixty-four billion, seven hundred seventy-seven million, nine hundred ninety-three thousand, nine hundred sixty-one".