9144696960400 has 45 divisors (see below), whose sum is σ = 21970279752483. Its totient is φ = 3657854592000.

The previous prime is 9144696960359. The next prime is 9144696960409. The reversal of 9144696960400 is 40696964419.

The square root of 9144696960400 is 3024020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2322905195664 + 6821791764736 = 1524108^2 + 2611856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9144696960409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 60404800 + ... + 60556000.

Almost surely, 2^{9144696960400} is an apocalyptic number.

9144696960400 is the 3024020-th square number.

It is an amenable number.

9144696960400 is an abundant number, since it is smaller than the sum of its proper divisors (12825582792083).

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

9144696960400 is an frugal number, since it uses more digits than its factorization.

9144696960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302420 (or 151208 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 58.

The spelling of 9144696960400 in words is "nine trillion, one hundred forty-four billion, six hundred ninety-six million, nine hundred sixty thousand, four hundred".