1098901441225 has 81 divisors (see below), whose sum is σ = 1614809454453. Its totient is φ = 739669896000.

The previous prime is 1098901441223. The next prime is 1098901441229. The reversal of 1098901441225 is 5221441098901.

The square root of 1098901441225 is 1048285.

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 506173908681 + 592727532544 = 711459^2 + 769888^2 .

It is not a de Polignac number, because 1098901441225 - 2¹ = 1098901441223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1098901441223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2238088230 + ... + 2238088720.

Almost surely, 2^{1098901441225} is an apocalyptic number.

1098901441225 is the 1048285-th square number.

1098901441225 is the 524143-rd centered octagonal number.

It is an amenable number.

1098901441225 is a deficient number, since it is larger than the sum of its proper divisors (515908013228).

1098901441225 is an frugal number, since it uses more digits than its factorization.

1098901441225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 1098901441225 in words is "one trillion, ninety-eight billion, nine hundred one million, four hundred forty-one thousand, two hundred twenty-five".