13744904073264 has 1920 divisors, whose sum is σ = 53876033935360. Its totient is φ = 3291294892032.

The previous prime is 13744904073233. The next prime is 13744904073287. The reversal of 13744904073264 is 46237040944731.

It is a happy number.

13744904073264 is a `hidden beast` number, since 1 + 37 + 449 + 0 + 40 + 73 + 2 + 64 = 666.

It is a super-2 number, since 2×13744904073264² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13744904073264.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18157072374 + ... + 18157073130.

Almost surely, 2^{13744904073264} is an apocalyptic number.

13744904073264 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 13744904073264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26938016967680).

13744904073264 is an abundant number, since it is smaller than the sum of its proper divisors (40131129862096).

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

13744904073264 is a wasteful number, since it uses less digits than its factorization.

13744904073264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 13744904073264 in words is "thirteen trillion, seven hundred forty-four billion, nine hundred four million, seventy-three thousand, two hundred sixty-four".