35866678225 has 45 divisors (see below), whose sum is σ = 51951247793. Its totient is φ = 24562476960.

The previous prime is 35866678219. The next prime is 35866678229. The reversal of 35866678225 is 52287666853.

The square root of 35866678225 is 189385.

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 13910551249 + 21956126976 = 117943^2 + 148176^2 .

It is not a de Polignac number, because 35866678225 - 2⁷ = 35866678097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35866678225.

It is not an unprimeable number, because it can be changed into a prime (35866678229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46398939 + ... + 46399711.

Almost surely, 2^35866678225 is an apocalyptic number.

35866678225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

35866678225 is the 189385-th square number.

35866678225 is the 94693-rd centered octagonal number.

It is an amenable number.

35866678225 is a deficient number, since it is larger than the sum of its proper divisors (16084569568).

35866678225 is an frugal number, since it uses more digits than its factorization.

35866678225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 785 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 58.

The spelling of 35866678225 in words is "thirty-five billion, eight hundred sixty-six million, six hundred seventy-eight thousand, two hundred twenty-five".