14620909968 has 160 divisors (see below), whose sum is σ = 48039782400. Its totient is φ = 4170697344.

The previous prime is 14620909957. The next prime is 14620909999. The reversal of 14620909968 is 86990902641.

14620909968 is a `hidden beast` number, since 1 + 4 + 620 + 9 + 0 + 9 + 9 + 6 + 8 = 666.

14620909968 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 2×14620909968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 2061853 + ... + 2068931.

It is an arithmetic number, because the mean of its divisors is an integer number (300248640).

Almost surely, 2^14620909968 is an apocalyptic number.

14620909968 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 14620909968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24019891200).

14620909968 is an abundant number, since it is smaller than the sum of its proper divisors (33418872432).

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

14620909968 is a wasteful number, since it uses less digits than its factorization.

14620909968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 14620909968 in words is "fourteen billion, six hundred twenty million, nine hundred nine thousand, nine hundred sixty-eight".