11634858225 has 189 divisors, whose sum is σ = 23477496817. Its totient is φ = 5715982080.

The previous prime is 11634858197. The next prime is 11634858229. The reversal of 11634858225 is 52285843611.

The square root of 11634858225 is 107865.

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

11634858225 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 48 + 582 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272151009 + 11362707216 = 16497^2 + 106596^2 .

It is not a de Polignac number, because 11634858225 - 2⁹ = 11634857713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (460800) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11634858229) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 247550152 + ... + 247550198.

Almost surely, 2^11634858225 is an apocalyptic number.

11634858225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11634858225 is the 107865-th square number.

11634858225 is the 53933-rd centered octagonal number.

It is an amenable number.

11634858225 is an abundant number, since it is smaller than the sum of its proper divisors (11842638592).

11634858225 is an frugal number, since it uses more digits than its factorization.

11634858225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 72 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 11634858225 in words is "eleven billion, six hundred thirty-four million, eight hundred fifty-eight thousand, two hundred twenty-five".