14634744744464 has 80 divisors (see below), whose sum is σ = 31531835166720. Its totient is φ = 6534361290240.

The previous prime is 14634744744449. The next prime is 14634744744469. The reversal of 14634744744464 is 46444744743641.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 14634744744397 and 14634744744406.

It is not an unprimeable number, because it can be changed into a prime (14634744744469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18419777 + ... + 19197855.

It is an arithmetic number, because the mean of its divisors is an integer number (394147939584).

Almost surely, 2^{14634744744464} 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 14634744744464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765917583360).

14634744744464 is an abundant number, since it is smaller than the sum of its proper divisors (16897090422256).

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

14634744744464 is a wasteful number, since it uses less digits than its factorization.

14634744744464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781048 (or 781042 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 62.

The spelling of 14634744744464 in words is "fourteen trillion, six hundred thirty-four billion, seven hundred forty-four million, seven hundred forty-four thousand, four hundred sixty-four".