10144517770225 has 48 divisors (see below), whose sum is σ = 13645997600256. Its totient is φ = 7453006848000.

The previous prime is 10144517770217. The next prime is 10144517770243. The reversal of 10144517770225 is 52207771544101.

It is not a de Polignac number, because 10144517770225 - 2³ = 10144517770217 is a prime.

It is a super-2 number, since 2×10144517770225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194040 + ... + 4659910.

It is an arithmetic number, because the mean of its divisors is an integer number (284291616672).

Almost surely, 2^{10144517770225} is an apocalyptic number.

It is an amenable number.

10144517770225 is a deficient number, since it is larger than the sum of its proper divisors (3501479830031).

10144517770225 is a wasteful number, since it uses less digits than its factorization.

10144517770225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466066 (or 3466061 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 46.

The spelling of 10144517770225 in words is "ten trillion, one hundred forty-four billion, five hundred seventeen million, seven hundred seventy thousand, two hundred twenty-five".