13752721984 has 63 divisors (see below), whose sum is σ = 27750541273. Its totient is φ = 6762372608.

The previous prime is 13752721973. The next prime is 13752721991. The reversal of 13752721984 is 48912725731.

The square root of 13752721984 is 117272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8078414400 + 5674307584 = 89880^2 + 75328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100384764 + ... + 100384900.

Almost surely, 2^13752721984 is an apocalyptic number.

13752721984 is the 117272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13752721984

13752721984 is an abundant number, since it is smaller than the sum of its proper divisors (13997819289).

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

13752721984 is an frugal number, since it uses more digits than its factorization.

13752721984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 246 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

Multiplying 13752721984 by its sum of digits (49), we get a square (673883377216 = 820904²).

It can be divided in two parts, 137 and 52721984, that added together give a square (52722121 = 7261²).

The spelling of 13752721984 in words is "thirteen billion, seven hundred fifty-two million, seven hundred twenty-one thousand, nine hundred eighty-four".