823832153104 has 15 divisors (see below), whose sum is σ = 1596181830973. Its totient is φ = 411914261248.

The previous prime is 823832153017. The next prime is 823832153107. The reversal of 823832153104 is 401351238328.

The square root of 823832153104 is 907652.

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

It can be written as a sum of positive squares in only one way, i.e., 651733290000 + 172098863104 = 807300^2 + 414848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (823832153107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3517152 + ... + 3744064.

Almost surely, 2^823832153104 is an apocalyptic number.

823832153104 is the 907652-nd square number.

It is an amenable number.

823832153104 is a deficient number, since it is larger than the sum of its proper divisors (772349677869).

823832153104 is an frugal number, since it uses more digits than its factorization.

823832153104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453834 (or 226915 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 823832153104 in words is "eight hundred twenty-three billion, eight hundred thirty-two million, one hundred fifty-three thousand, one hundred four".