4311706896225 has 135 divisors (see below), whose sum is σ = 8222578042783. Its totient is φ = 2159789387520.

The previous prime is 4311706896193. The next prime is 4311706896227. The reversal of 4311706896225 is 5226986071134.

It is a happy number.

The square root of 4311706896225 is 2076465.

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

4311706896225 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 7 + 0 + 6 + 8 + 9 + 622 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 469840331601 + 3841866564624 = 685449^2 + 1960068^2 .

It is not a de Polignac number, because 4311706896225 - 2⁵ = 4311706896193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4311706896227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9001475536 + ... + 9001476014.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4311706896225 = 8623413792450, but 3⋅4311706896225 = 12935120688675 is not.

Almost surely, 2^{4311706896225} is an apocalyptic number.

4311706896225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4311706896225 is the 2076465-th square number.

4311706896225 is the 1038233-rd centered octagonal number.

It is an amenable number.

4311706896225 is a deficient number, since it is larger than the sum of its proper divisors (3910871146558).

4311706896225 is an frugal number, since it uses more digits than its factorization.

4311706896225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4311706896225 in words is "four trillion, three hundred eleven billion, seven hundred six million, eight hundred ninety-six thousand, two hundred twenty-five".