10090558846096 has 15 divisors (see below), whose sum is σ = 19550482382713. Its totient is φ = 5045273069920.

The previous prime is 10090558846079. The next prime is 10090558846141. The reversal of 10090558846096 is 69064885509001.

The square root of 10090558846096 is 3176564.

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., 1881187806096 + 8209371040000 = 1371564^2 + 2865200^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 12309186 + ... + 13103326.

Almost surely, 2^{10090558846096} is an apocalyptic number.

10090558846096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10090558846096 is the 3176564-th square number.

It is an amenable number.

10090558846096 is a deficient number, since it is larger than the sum of its proper divisors (9459923536617).

10090558846096 is an frugal number, since it uses more digits than its factorization.

10090558846096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588290 (or 794143 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 10090558846096 in words is "ten trillion, ninety billion, five hundred fifty-eight million, eight hundred forty-six thousand, ninety-six".