10626203142144 has 144 divisors (see below), whose sum is σ = 30697414429500. Its totient is φ = 3541261123584.

The previous prime is 10626203142109. The next prime is 10626203142167. The reversal of 10626203142144 is 44124130262601.

10626203142144 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 620 + 3 + 1 + 4 + 21 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10606746240000 + 19456902144 = 3256800^2 + 139488^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10626203142144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10626203142099 and 10626203142108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83783802 + ... + 83910534.

Almost surely, 2^{10626203142144} 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 10626203142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348707214750).

10626203142144 is an abundant number, since it is smaller than the sum of its proper divisors (20071211287356).

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

10626203142144 is a wasteful number, since it uses less digits than its factorization.

10626203142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131310 (or 131287 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10626203142144 in words is "ten trillion, six hundred twenty-six billion, two hundred three million, one hundred forty-two thousand, one hundred forty-four".