11329794432576 has 63 divisors (see below), whose sum is σ = 32475041636401. Its totient is φ = 3776571216384.

The previous prime is 11329794432571. The next prime is 11329794432577. The reversal of 11329794432576 is 67523449792311.

The square root of 11329794432576 is 3365976.

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

11329794432576 is a `hidden beast` number, since 1 + 1 + 3 + 29 + 7 + 9 + 4 + 4 + 32 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4764720614976 + 6565073817600 = 2182824^2 + 2562240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11329794432571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80713300 + ... + 80853548.

Almost surely, 2^{11329794432576} is an apocalyptic number.

11329794432576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11329794432576 is the 3365976-th square number.

It is an amenable number.

11329794432576 is an abundant number, since it is smaller than the sum of its proper divisors (21145247203825).

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

11329794432576 is an frugal number, since it uses more digits than its factorization.

11329794432576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280516 (or 140254 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 11329794432576 in words is "eleven trillion, three hundred twenty-nine billion, seven hundred ninety-four million, four hundred thirty-two thousand, five hundred seventy-six".