10614854688768 has 504 divisors, whose sum is σ = 34527493541268. Its totient is φ = 3138060288000.

The previous prime is 10614854688719. The next prime is 10614854688793. The reversal of 10614854688768 is 86788645841601.

10614854688768 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 4 + 8 + 546 + 8 + 8 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10592369086464 + 22485602304 = 3254592^2 + 149952^2 .

It is a super-2 number, since 2×10614854688768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10614854688696 and 10614854688705.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 365750098 + ... + 365779118.

Almost surely, 2^{10614854688768} is an apocalyptic number.

10614854688768 is a gapful number since it is divisible by the number (18) 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 10614854688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263746770634).

10614854688768 is an abundant number, since it is smaller than the sum of its proper divisors (23912638852500).

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

10614854688768 is a wasteful number, since it uses less digits than its factorization.

10614854688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29116 (or 29078 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 10614854688768 in words is "ten trillion, six hundred fourteen billion, eight hundred fifty-four million, six hundred eighty-eight thousand, seven hundred sixty-eight".