14120612964 has 288 divisors, whose sum is σ = 42066984960. Its totient is φ = 3962649600.

The previous prime is 14120612963. The next prime is 14120612977. The reversal of 14120612964 is 46921602141.

14120612964 is a `hidden beast` number, since 14 + 1 + 20 + 612 + 9 + 6 + 4 = 666.

14120612964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14120612963) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 15499669 + ... + 15500579.

It is an arithmetic number, because the mean of its divisors is an integer number (146065920).

Almost surely, 2^14120612964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120612964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21033492480).

14120612964 is an abundant number, since it is smaller than the sum of its proper divisors (27946371996).

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

14120612964 is a wasteful number, since it uses less digits than its factorization.

14120612964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14120612964 in words is "fourteen billion, one hundred twenty million, six hundred twelve thousand, nine hundred sixty-four".