13744743742464 has 528 divisors, whose sum is σ = 45796802464512. Its totient is φ = 3640854970368.

The previous prime is 13744743742451. The next prime is 13744743742469. The reversal of 13744743742464 is 46424734744731.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13744743742398 and 13744743742407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13744743742469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171411309 + ... + 171491475.

It is an arithmetic number, because the mean of its divisors is an integer number (86736368304).

Almost surely, 2^{13744743742464} is an apocalyptic number.

13744743742464 is a gapful number since it is divisible by the number (14) 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 13744743742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22898401232256).

13744743742464 is an abundant number, since it is smaller than the sum of its proper divisors (32052058722048).

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

13744743742464 is a wasteful number, since it uses less digits than its factorization.

13744743742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80288 (or 80263 counting only the distinct ones).

The product of its digits is 151732224, while the sum is 60.

The spelling of 13744743742464 in words is "thirteen trillion, seven hundred forty-four billion, seven hundred forty-three million, seven hundred forty-two thousand, four hundred sixty-four".