10817652113136 has 200 divisors, whose sum is σ = 34160325371568. Its totient is φ = 3277635840000.

The previous prime is 10817652113117. The next prime is 10817652113171. The reversal of 10817652113136 is 63131125671801.

10817652113136 is a `hidden beast` number, since 1 + 0 + 81 + 7 + 6 + 521 + 13 + 1 + 36 = 666.

It is a super-2 number, since 2×10817652113136² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10817652113091 and 10817652113100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115155786 + ... + 115249686.

Almost surely, 2^{10817652113136} is an apocalyptic number.

10817652113136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10817652113136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080162685784).

10817652113136 is an abundant number, since it is smaller than the sum of its proper divisors (23342673258432).

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

10817652113136 is a wasteful number, since it uses less digits than its factorization.

10817652113136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102013 (or 101998 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

Adding to 10817652113136 its reverse (63131125671801), we get a palindrome (73948777784937).

The spelling of 10817652113136 in words is "ten trillion, eight hundred seventeen billion, six hundred fifty-two million, one hundred thirteen thousand, one hundred thirty-six".