10484121664 has 21 divisors (see below), whose sum is σ = 20806054527. Its totient is φ = 5241651264.

The previous prime is 10484121649. The next prime is 10484121689. The reversal of 10484121664 is 46612148401.

The square root of 10484121664 is 102392.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 812737 + ... + 825535.

Almost surely, 2^10484121664 is an apocalyptic number.

10484121664 is the 102392-nd square number.

It is an amenable number.

10484121664 is a deficient number, since it is larger than the sum of its proper divisors (10321932863).

10484121664 is an frugal number, since it uses more digits than its factorization.

10484121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25610 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

Multiplying 10484121664 by its product of nonzero digits (36864), we get a square (386486661021696 = 19659264²).

The spelling of 10484121664 in words is "ten billion, four hundred eighty-four million, one hundred twenty-one thousand, six hundred sixty-four".