13337478144 has 165 divisors, whose sum is σ = 39927887461. Its totient is φ = 4434739200.

The previous prime is 13337478103. The next prime is 13337478149. The reversal of 13337478144 is 44187473331.

It is a happy number.

The square root of 13337478144 is 115488.

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

13337478144 is a `hidden beast` number, since 1 + 3 + 3 + 37 + 478 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13204767744 + 132710400 = 114912^2 + 11520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13337478144.

It is not an unprimeable number, because it can be changed into a prime (13337478149) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33260344 + ... + 33260744.

Almost surely, 2^13337478144 is an apocalyptic number.

13337478144 is the 115488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13337478144

13337478144 is an abundant number, since it is smaller than the sum of its proper divisors (26590409317).

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

13337478144 is an frugal number, since it uses more digits than its factorization.

13337478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 406 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 13337478144 in words is "thirteen billion, three hundred thirty-seven million, four hundred seventy-eight thousand, one hundred forty-four".