10738363217583 has 16 divisors (see below), whose sum is σ = 14469807418976. Its totient is φ = 7082958643200.

The previous prime is 10738363217573. The next prime is 10738363217609. The reversal of 10738363217583 is 38571236383701.

It is a happy number.

10738363217583 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10738363217583 - 2⁴ = 10738363217567 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10738363217573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4628866 + ... + 6550047.

It is an arithmetic number, because the mean of its divisors is an integer number (904362963686).

Almost surely, 2^{10738363217583} is an apocalyptic number.

10738363217583 is a deficient number, since it is larger than the sum of its proper divisors (3731444201393).

10738363217583 is a wasteful number, since it uses less digits than its factorization.

10738363217583 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11182314.

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 10738363217583 in words is "ten trillion, seven hundred thirty-eight billion, three hundred sixty-three million, two hundred seventeen thousand, five hundred eighty-three".