10034526023824 has 15 divisors (see below), whose sum is σ = 19441918721113. Its totient is φ = 5017256676448.

The previous prime is 10034526023801. The next prime is 10034526023831. The reversal of 10034526023824 is 42832062543001.

It is a happy number.

The square root of 10034526023824 is 3167732.

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., 2218967744400 + 7815558279424 = 1489620^2 + 2795632^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 12274962 + ... + 13066894.

Almost surely, 2^{10034526023824} is an apocalyptic number.

10034526023824 is the 3167732-nd square number.

It is an amenable number.

10034526023824 is a deficient number, since it is larger than the sum of its proper divisors (9407392697289).

10034526023824 is an frugal number, since it uses more digits than its factorization.

10034526023824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583874 (or 791935 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

Adding to 10034526023824 its reverse (42832062543001), we get a palindrome (52866588566825).

The spelling of 10034526023824 in words is "ten trillion, thirty-four billion, five hundred twenty-six million, twenty-three thousand, eight hundred twenty-four".