13458784144 has 135 divisors (see below), whose sum is σ = 29825065683. Its totient is φ = 5880416256.

The previous prime is 13458784127. The next prime is 13458784201. The reversal of 13458784144 is 44148785431.

The square root of 13458784144 is 116012.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2458969744 + 10999814400 = 49588^2 + 104880^2 .

It is a super-2 number, since 2×13458784144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138750304 + ... + 138750400.

Almost surely, 2^13458784144 is an apocalyptic number.

13458784144 is the 116012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13458784144

13458784144 is an abundant number, since it is smaller than the sum of its proper divisors (16366281539).

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

13458784144 is an equidigital number, since it uses as much as digits as its factorization.

13458784144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 49.

Multiplying 13458784144 by its sum of digits (49), we get a square (659480423056 = 812084²).

The spelling of 13458784144 in words is "thirteen billion, four hundred fifty-eight million, seven hundred eighty-four thousand, one hundred forty-four".