10638596745 has 96 divisors (see below), whose sum is σ = 21349785600. Its totient is φ = 4800218112.

The previous prime is 10638596743. The next prime is 10638596747. The reversal of 10638596745 is 54769583601.

10638596745 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 8 + 596 + 7 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (10638596743) and next prime (10638596747).

It is not a de Polignac number, because 10638596745 - 2¹ = 10638596743 is a prime.

It is a super-2 number, since 2×10638596745² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10638596691 and 10638596700.

It is not an unprimeable number, because it can be changed into a prime (10638596743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13149901 + ... + 13150709.

It is an arithmetic number, because the mean of its divisors is an integer number (222393600).

Almost surely, 2^10638596745 is an apocalyptic number.

10638596745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10638596745 is an abundant number, since it is smaller than the sum of its proper divisors (10711188855).

10638596745 is a wasteful number, since it uses less digits than its factorization.

10638596745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10638596745 in words is "ten billion, six hundred thirty-eight million, five hundred ninety-six thousand, seven hundred forty-five".