11142744705625 has 45 divisors (see below), whose sum is σ = 15078907173099. Its totient is φ = 8227687260000.

The previous prime is 11142744705577. The next prime is 11142744705641. The reversal of 11142744705625 is 52650744724111.

The square root of 11142744705625 is 3338075.

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

It can be written as a sum of positive squares in 7 ways, for example, as 11006025206089 + 136719499536 = 3317533^2 + 369756^2 .

It is not a de Polignac number, because 11142744705625 - 2²⁹ = 11142207834713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1084869240 + ... + 1084879510.

Almost surely, 2^{11142744705625} is an apocalyptic number.

11142744705625 is the 3338075-th square number.

11142744705625 is the 1669038-th centered octagonal number.

It is an amenable number.

11142744705625 is a deficient number, since it is larger than the sum of its proper divisors (3936162467474).

11142744705625 is an frugal number, since it uses more digits than its factorization.

11142744705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20588 (or 10289 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 11142744705625 by its sum of digits (49), we get a square (545994490575625 = 23366525²).

The spelling of 11142744705625 in words is "eleven trillion, one hundred forty-two billion, seven hundred forty-four million, seven hundred five thousand, six hundred twenty-five".