45834727918225 has 27 divisors (see below), whose sum is σ = 58189394459313. Its totient is φ = 35813905827840.

The previous prime is 45834727918181. The next prime is 45834727918253. The reversal of 45834727918225 is 52281972743854.

The square root of 45834727918225 is 6770135.

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 98344332801 + 45736383585424 = 313599^2 + 6762868^2 .

It is not a de Polignac number, because 45834727918225 - 2¹³ = 45834727910033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1455563281 + ... + 1455594769.

Almost surely, 2^{45834727918225} is an apocalyptic number.

45834727918225 is the 6770135-th square number.

45834727918225 is the 3385068-th centered octagonal number.

It is an amenable number.

45834727918225 is a deficient number, since it is larger than the sum of its proper divisors (12354666541088).

45834727918225 is an frugal number, since it uses more digits than its factorization.

45834727918225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63074 (or 31537 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 67.

The spelling of 45834727918225 in words is "forty-five trillion, eight hundred thirty-four billion, seven hundred twenty-seven million, nine hundred eighteen thousand, two hundred twenty-five".