1338630488064 has 405 divisors, whose sum is σ = 4073573026159. Its totient is φ = 423551631360.

The previous prime is 1338630488017. The next prime is 1338630488077. The reversal of 1338630488064 is 4608840368331.

The square root of 1338630488064 is 1156992.

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

1338630488064 is a `hidden beast` number, since 13 + 38 + 63 + 0 + 488 + 0 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 1338630488064.

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, 10218553279 + ... + 10218553409.

Almost surely, 2^{1338630488064} is an apocalyptic number.

1338630488064 is the 1156992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338630488064

1338630488064 is an abundant number, since it is smaller than the sum of its proper divisors (2734942538095).

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

1338630488064 is an frugal number, since it uses more digits than its factorization.

1338630488064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1338630488064 in words is "one trillion, three hundred thirty-eight billion, six hundred thirty million, four hundred eighty-eight thousand, sixty-four".