2838096162225 has 63 divisors (see below), whose sum is σ = 5276867977243. Its totient is φ = 1513529990640.

The previous prime is 2838096162163. The next prime is 2838096162281. The reversal of 2838096162225 is 5222616908382.

The square root of 2838096162225 is 1684665.

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

2838096162225 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 0 + 9 + 6 + 1 + 622 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1021714618401 + 1816381543824 = 1010799^2 + 1347732^2 .

It is not a de Polignac number, because 2838096162225 - 2²¹ = 2838094065073 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 227423536 + ... + 227436014.

Almost surely, 2^{2838096162225} is an apocalyptic number.

2838096162225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2838096162225 is the 1684665-th square number.

2838096162225 is the 842333-rd centered octagonal number.

It is an amenable number.

2838096162225 is a deficient number, since it is larger than the sum of its proper divisors (2438771815018).

2838096162225 is an frugal number, since it uses more digits than its factorization.

2838096162225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24986 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2838096162225 in words is "two trillion, eight hundred thirty-eight billion, ninety-six million, one hundred sixty-two thousand, two hundred twenty-five".