10126646244 has 240 divisors, whose sum is σ = 31364315136. Its totient is φ = 2808691200.

The previous prime is 10126646237. The next prime is 10126646267. The reversal of 10126646244 is 44264662101.

10126646244 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 646 + 2 + 4 + 4 = 666.

It is a super-2 number, since 2×10126646244² (a number of 21 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 = 10126646199 and 10126646208.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5883304 + ... + 5885024.

Almost surely, 2^10126646244 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 10126646244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682157568).

10126646244 is an abundant number, since it is smaller than the sum of its proper divisors (21237668892).

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

10126646244 is a wasteful number, since it uses less digits than its factorization.

10126646244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

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

The spelling of 10126646244 in words is "ten billion, one hundred twenty-six million, six hundred forty-six thousand, two hundred forty-four".