4586300649225 has 27 divisors (see below), whose sum is σ = 8214631588839. Its totient is φ = 2446009880400.

The previous prime is 4586300649191. The next prime is 4586300649257. The reversal of 4586300649225 is 5229460036854.

The square root of 4586300649225 is 2141565.

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

4586300649225 is a `hidden beast` number, since 4 + 58 + 6 + 300 + 64 + 9 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1651068233721 + 2935232415504 = 1284939^2 + 1713252^2 .

It is not a de Polignac number, because 4586300649225 - 2²³ = 4586292260617 is a prime.

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, 32052090 + ... + 32194860.

Almost surely, 2^{4586300649225} is an apocalyptic number.

4586300649225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4586300649225 is the 2141565-th square number.

4586300649225 is the 1070783-rd centered octagonal number.

It is an amenable number.

4586300649225 is a deficient number, since it is larger than the sum of its proper divisors (3628330939614).

4586300649225 is an frugal number, since it uses more digits than its factorization.

4586300649225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285558 (or 142779 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4586300649225 in words is "four trillion, five hundred eighty-six billion, three hundred million, six hundred forty-nine thousand, two hundred twenty-five".