10225134366264 has 448 divisors, whose sum is σ = 30765429979200. Its totient is φ = 3178267932672.

The previous prime is 10225134366257. The next prime is 10225134366313. The reversal of 10225134366264 is 46266343152201.

10225134366264 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 13 + 4 + 3 + 6 + 626 + 4 = 666.

It is a congruent 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 111 ways as a sum of consecutive naturals, for example, 857303869 + ... + 857315795.

It is an arithmetic number, because the mean of its divisors is an integer number (68672834775).

Almost surely, 2^{10225134366264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225134366264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15382714989600).

10225134366264 is an abundant number, since it is smaller than the sum of its proper divisors (20540295612936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10225134366264 is a wasteful number, since it uses less digits than its factorization.

10225134366264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12135 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 10225134366264 in words is "ten trillion, two hundred twenty-five billion, one hundred thirty-four million, three hundred sixty-six thousand, two hundred sixty-four".