10614975879168 has 120 divisors (see below), whose sum is σ = 31706136401940. Its totient is φ = 3538325237760.

The previous prime is 10614975879163. The next prime is 10614975879197. The reversal of 10614975879168 is 86197857941601.

10614975879168 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 497 + 5 + 8 + 79 + 1 + 68 = 666.

It is a super-2 number, since 2×10614975879168² (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 = 10614975879096 and 10614975879105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10614975879163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31828518 + ... + 32160293.

Almost surely, 2^{10614975879168} is an apocalyptic number.

10614975879168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10614975879168 is an abundant number, since it is smaller than the sum of its proper divisors (21091160522772).

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

10614975879168 is an frugal number, since it uses more digits than its factorization.

10614975879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63988845 (or 63988816 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 72.

The spelling of 10614975879168 in words is "ten trillion, six hundred fourteen billion, nine hundred seventy-five million, eight hundred seventy-nine thousand, one hundred sixty-eight".