32569940312064 has 255 divisors, whose sum is σ = 97346280575137. Its totient is φ = 10852263788544.

The previous prime is 32569940311907. The next prime is 32569940312137. The reversal of 32569940312064 is 46021304996523.

The square root of 32569940312064 is 5707008.

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

32569940312064 is a `hidden beast` number, since 3 + 2 + 56 + 9 + 9 + 403 + 120 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16350053990400 + 16219886321664 = 4043520^2 + 4027392^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32569940312064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13148945194 + ... + 13148947670.

Almost surely, 2^{32569940312064} is an apocalyptic number.

32569940312064 is the 5707008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32569940312064

32569940312064 is an abundant number, since it is smaller than the sum of its proper divisors (64776340263073).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32569940312064 is an frugal number, since it uses more digits than its factorization.

32569940312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 32569940312064 in words is "thirty-two trillion, five hundred sixty-nine billion, nine hundred forty million, three hundred twelve thousand, sixty-four".