10131826844064 has 192 divisors, whose sum is σ = 27428995681920. Its totient is φ = 3272687124480.

The previous prime is 10131826844047. The next prime is 10131826844071. The reversal of 10131826844064 is 46044862813101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386860282 + ... + 386886470.

It is an arithmetic number, because the mean of its divisors is an integer number (142859352510).

Almost surely, 2^{10131826844064} 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 10131826844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13714497840960).

10131826844064 is an abundant number, since it is smaller than the sum of its proper divisors (17297168837856).

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

10131826844064 is a wasteful number, since it uses less digits than its factorization.

10131826844064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26903 (or 26895 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 10131826844064 in words is "ten trillion, one hundred thirty-one billion, eight hundred twenty-six million, eight hundred forty-four thousand, sixty-four".