10496438617 has 12 divisors (see below), whose sum is σ = 12213676596. Its totient is φ = 8994343680.

The previous prime is 10496438593. The next prime is 10496438651. The reversal of 10496438617 is 71683469401.

10496438617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 352725961 + 10143712656 = 18781^2 + 100716^2 .

It is not a de Polignac number, because 10496438617 - 2²³ = 10488050009 is a prime.

It is a super-3 number, since 3×10496438617³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10496436617) 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 11 ways as a sum of consecutive naturals, for example, 150817 + ... + 209137.

It is an arithmetic number, because the mean of its divisors is an integer number (1017806383).

Almost surely, 2^10496438617 is an apocalyptic number.

It is an amenable number.

10496438617 is a deficient number, since it is larger than the sum of its proper divisors (1717237979).

10496438617 is an equidigital number, since it uses as much as digits as its factorization.

10496438617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62008 (or 62001 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 10496438617 in words is "ten billion, four hundred ninety-six million, four hundred thirty-eight thousand, six hundred seventeen".