13454144064 has 189 divisors, whose sum is σ = 40270031347. Its totient is φ = 4459660416.

The previous prime is 13454144003. The next prime is 13454144069. The reversal of 13454144064 is 46044145431.

The square root of 13454144064 is 115992.

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

13454144064 is a `hidden beast` number, since 1 + 3 + 454 + 144 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13454144069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75162727 + ... + 75162905.

Almost surely, 2^13454144064 is an apocalyptic number.

13454144064 is the 115992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13454144064

13454144064 is an abundant number, since it is smaller than the sum of its proper divisors (26815887283).

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

13454144064 is an frugal number, since it uses more digits than its factorization.

13454144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 13454144064 by its sum of digits (36), we get a square (484349186304 = 695952²).

13454144064 divided by its sum of digits (36) gives a square (373726224 = 19332²).

Adding to 13454144064 its reverse (46044145431), we get a palindrome (59498289495).

The spelling of 13454144064 in words is "thirteen billion, four hundred fifty-four million, one hundred forty-four thousand, sixty-four".