10126938456 has 96 divisors (see below), whose sum is σ = 29023038720. Its totient is φ = 3183364800.

The previous prime is 10126938449. The next prime is 10126938457. The reversal of 10126938456 is 65483962101.

10126938456 is a `hidden beast` number, since 1 + 0 + 1 + 269 + 384 + 5 + 6 = 666.

10126938456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10126938456² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126938457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74511 + ... + 160641.

It is an arithmetic number, because the mean of its divisors is an integer number (302323320).

Almost surely, 2^10126938456 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 10126938456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14511519360).

10126938456 is an abundant number, since it is smaller than the sum of its proper divisors (18896100264).

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

10126938456 is a wasteful number, since it uses less digits than its factorization.

10126938456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86237 (or 86230 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10126938456 in words is "ten billion, one hundred twenty-six million, nine hundred thirty-eight thousand, four hundred fifty-six".