64117836225 has 135 divisors (see below), whose sum is σ = 126548053401. Its totient is φ = 32087404800.

The previous prime is 64117836187. The next prime is 64117836239. The reversal of 64117836225 is 52263871146.

The square root of 64117836225 is 253215.

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

64117836225 is a `hidden beast` number, since 6 + 4 + 1 + 17 + 8 + 3 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1499780529 + 62618055696 = 38727^2 + 250236^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 64117836225 - 2⁹ = 64117835713 is a prime.

It is a super-2 number, since 2×64117836225² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 193709310 + ... + 193709640.

Almost surely, 2^64117836225 is an apocalyptic number.

64117836225 is the 253215-th square number.

64117836225 is the 126608-th centered octagonal number.

It is an amenable number.

64117836225 is a deficient number, since it is larger than the sum of its proper divisors (62430217176).

64117836225 is an equidigital number, since it uses as much as digits as its factorization.

64117836225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 356 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 64117836225 in words is "sixty-four billion, one hundred seventeen million, eight hundred thirty-six thousand, two hundred twenty-five".