10614716811072 has 168 divisors, whose sum is σ = 34261774739712. Its totient is φ = 3112820121600.

The previous prime is 10614716811071. The next prime is 10614716811079. The reversal of 10614716811072 is 27011861741601.

10614716811072 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 471 + 68 + 110 + 7 + 2 = 666.

10614716811072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10614716811072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10614716811071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26824593 + ... + 27217424.

Almost surely, 2^{10614716811072} is an apocalyptic number.

10614716811072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10614716811072 is an abundant number, since it is smaller than the sum of its proper divisors (23647057928640).

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

10614716811072 is a wasteful number, since it uses less digits than its factorization.

10614716811072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54042077 (or 54042064 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10614716811072 in words is "ten trillion, six hundred fourteen billion, seven hundred sixteen million, eight hundred eleven thousand, seventy-two".