10256646771144 has 96 divisors (see below), whose sum is σ = 27952280616000. Its totient is φ = 3397548986496.

The previous prime is 10256646771131. The next prime is 10256646771181. The reversal of 10256646771144 is 44117764665201.

10256646771144 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 66 + 467 + 7 + 114 + 4 = 666.

It is a super-2 number, since 2×10256646771144² (a number of 27 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6880317 + ... + 8237235.

It is an arithmetic number, because the mean of its divisors is an integer number (291169589750).

Almost surely, 2^{10256646771144} is an apocalyptic number.

It is an amenable number.

10256646771144 is an abundant number, since it is smaller than the sum of its proper divisors (17695633844856).

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

10256646771144 is a wasteful number, since it uses less digits than its factorization.

10256646771144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357587 (or 1357580 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 10256646771144 in words is "ten trillion, two hundred fifty-six billion, six hundred forty-six million, seven hundred seventy-one thousand, one hundred forty-four".