13751721984 has 672 divisors, whose sum is σ = 50655711744. Its totient is φ = 3220439040.

The previous prime is 13751721953. The next prime is 13751722003. The reversal of 13751721984 is 48912715731.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319807467 + ... + 319807509.

Almost surely, 2^13751721984 is an apocalyptic number.

13751721984 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 13751721984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25327855872).

13751721984 is an abundant number, since it is smaller than the sum of its proper divisors (36903989760).

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

13751721984 is a wasteful number, since it uses less digits than its factorization.

13751721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 423360, while the sum is 48.

The spelling of 13751721984 in words is "thirteen billion, seven hundred fifty-one million, seven hundred twenty-one thousand, nine hundred eighty-four".