14454758934 has 320 divisors, whose sum is σ = 43155763200. Its totient is φ = 3502699200.

The previous prime is 14454758911. The next prime is 14454758951. The reversal of 14454758934 is 43985745441.

14454758934 is a `hidden beast` number, since 1 + 4 + 4 + 54 + 7 + 589 + 3 + 4 = 666.

14454758934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 16826997 + ... + 16827855.

It is an arithmetic number, because the mean of its divisors is an integer number (134861760).

Almost surely, 2^14454758934 is an apocalyptic number.

14454758934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14454758934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577881600).

14454758934 is an abundant number, since it is smaller than the sum of its proper divisors (28701004266).

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

14454758934 is a wasteful number, since it uses less digits than its factorization.

14454758934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 972 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 14454758934 in words is "fourteen billion, four hundred fifty-four million, seven hundred fifty-eight thousand, nine hundred thirty-four".