10126496133468 has 576 divisors, whose sum is σ = 30925409074560. Its totient is φ = 2753674444800.

The previous prime is 10126496133449. The next prime is 10126496133473. The reversal of 10126496133468 is 86433169462101.

It is a happy number.

10126496133468 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 49 + 6 + 133 + 468 = 666.

It is a super-2 number, since 2×10126496133468² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9544293658 + ... + 9544294718.

It is an arithmetic number, because the mean of its divisors is an integer number (53689946310).

Almost surely, 2^{10126496133468} is an apocalyptic number.

10126496133468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10126496133468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15462704537280).

10126496133468 is an abundant number, since it is smaller than the sum of its proper divisors (20798912941092).

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

10126496133468 is a wasteful number, since it uses less digits than its factorization.

10126496133468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10126496133468 in words is "ten trillion, one hundred twenty-six billion, four hundred ninety-six million, one hundred thirty-three thousand, four hundred sixty-eight".