10445436768 has 192 divisors, whose sum is σ = 29990822400. Its totient is φ = 3164147712.

The previous prime is 10445436767. The next prime is 10445436857. The reversal of 10445436768 is 86763454401.

10445436768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10445436767) 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 31 ways as a sum of consecutive naturals, for example, 34024071 + ... + 34024377.

It is an arithmetic number, because the mean of its divisors is an integer number (156202200).

Almost surely, 2^10445436768 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 10445436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995411200).

10445436768 is an abundant number, since it is smaller than the sum of its proper divisors (19545385632).

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

10445436768 is a wasteful number, since it uses less digits than its factorization.

10445436768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 10445436768 in words is "ten billion, four hundred forty-five million, four hundred thirty-six thousand, seven hundred sixty-eight".