14645742540 has 192 divisors, whose sum is σ = 48968865792. Its totient is φ = 3223526400.

The previous prime is 14645742497. The next prime is 14645742619. The reversal of 14645742540 is 4524754641.

It is a junction number, because it is equal to n+sod(n) for n = 14645742492 and 14645742501.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509389 + ... + 537371.

It is an arithmetic number, because the mean of its divisors is an integer number (255046176).

Almost surely, 2^14645742540 is an apocalyptic number.

14645742540 is a gapful number since it is divisible by the number (10) 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 14645742540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484432896).

14645742540 is an abundant number, since it is smaller than the sum of its proper divisors (34323123252).

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

14645742540 is a wasteful number, since it uses less digits than its factorization.

14645742540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28080 (or 28078 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 14645742540 in words is "fourteen billion, six hundred forty-five million, seven hundred forty-two thousand, five hundred forty".