14457338742 has 64 divisors (see below), whose sum is σ = 36065078784. Its totient is φ = 3753527040.

The previous prime is 14457338741. The next prime is 14457338761. The reversal of 14457338742 is 24783375441.

It is a junction number, because it is equal to n+sod(n) for n = 14457338691 and 14457338700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457338741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358988 + ... + 1369584.

It is an arithmetic number, because the mean of its divisors is an integer number (563516856).

Almost surely, 2^14457338742 is an apocalyptic number.

14457338742 is an abundant number, since it is smaller than the sum of its proper divisors (21607740042).

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

14457338742 is a wasteful number, since it uses less digits than its factorization.

14457338742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573.

The product of its digits is 2257920, while the sum is 48.

It can be divided in two parts, 144573 and 38742, that added together give a triangular number (183315 = T₆₀₅).

The spelling of 14457338742 in words is "fourteen billion, four hundred fifty-seven million, three hundred thirty-eight thousand, seven hundred forty-two".