14745409952 has 384 divisors, whose sum is σ = 40632399360. Its totient is φ = 5096079360.

The previous prime is 14745409951. The next prime is 14745409957. The reversal of 14745409952 is 25990454741.

14745409952 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 2×14745409952² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14745409952.

It is not an unprimeable number, because it can be changed into a prime (14745409951) 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 63 ways as a sum of consecutive naturals, for example, 57375008 + ... + 57375264.

It is an arithmetic number, because the mean of its divisors is an integer number (105813540).

Almost surely, 2^14745409952 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 14745409952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316199680).

14745409952 is an abundant number, since it is smaller than the sum of its proper divisors (25886989408).

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

14745409952 is a wasteful number, since it uses less digits than its factorization.

14745409952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 14745409952 in words is "fourteen billion, seven hundred forty-five million, four hundred nine thousand, nine hundred fifty-two".