14745091968 has 288 divisors, whose sum is σ = 46216801800. Its totient is φ = 4499712000.

The previous prime is 14745091961. The next prime is 14745091969. The reversal of 14745091968 is 86919054741.

14745091968 is a `hidden beast` number, since 1 + 4 + 74 + 509 + 1 + 9 + 68 = 666.

14745091968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14745091968² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14745091961) 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 35 ways as a sum of consecutive naturals, for example, 21034018 + ... + 21034718.

Almost surely, 2^14745091968 is an apocalyptic number.

14745091968 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 14745091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23108400900).

14745091968 is an abundant number, since it is smaller than the sum of its proper divisors (31471709832).

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

14745091968 is a wasteful number, since it uses less digits than its factorization.

14745091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 14745091968 in words is "fourteen billion, seven hundred forty-five million, ninety-one thousand, nine hundred sixty-eight".