10935167745 has 32 divisors (see below), whose sum is σ = 17828037504. Its totient is φ = 5721984000.

The previous prime is 10935167743. The next prime is 10935167777. The reversal of 10935167745 is 54776153901.

It is not a de Polignac number, because 10935167745 - 2¹ = 10935167743 is a prime.

It is a super-2 number, since 2×10935167745² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10935167694 and 10935167703.

It is not an unprimeable number, because it can be changed into a prime (10935167743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352014 + ... + 381816.

It is an arithmetic number, because the mean of its divisors is an integer number (557126172).

Almost surely, 2^10935167745 is an apocalyptic number.

10935167745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10935167745 is a deficient number, since it is larger than the sum of its proper divisors (6892869759).

10935167745 is a wasteful number, since it uses less digits than its factorization.

10935167745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30273.

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 10935167745 in words is "ten billion, nine hundred thirty-five million, one hundred sixty-seven thousand, seven hundred forty-five".