1108945894225 has 81 divisors (see below), whose sum is σ = 1583408281593. Its totient is φ = 769933731840.

The previous prime is 1108945894213. The next prime is 1108945894237. The reversal of 1108945894225 is 5224985498011.

The square root of 1108945894225 is 1053065.

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

It is an interprime number because it is at equal distance from previous prime (1108945894213) and next prime (1108945894237).

It can be written as a sum of positive squares in 40 ways, for example, as 998546528529 + 110399365696 = 999273^2 + 332264^2 .

It is not a de Polignac number, because 1108945894225 - 2¹⁹ = 1108945369937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1108945894225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1163636349 + ... + 1163637301.

Almost surely, 2^{1108945894225} is an apocalyptic number.

1108945894225 is the 1053065-th square number.

1108945894225 is the 526533-rd centered octagonal number.

It is an amenable number.

1108945894225 is a deficient number, since it is larger than the sum of its proper divisors (474462387368).

1108945894225 is an frugal number, since it uses more digits than its factorization.

1108945894225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 58.

The spelling of 1108945894225 in words is "one trillion, one hundred eight billion, nine hundred forty-five million, eight hundred ninety-four thousand, two hundred twenty-five".