1338128064 has 336 divisors, whose sum is σ = 4826203200. Its totient is φ = 352235520.

The previous prime is 1338128059. The next prime is 1338128101. The reversal of 1338128064 is 4608218331.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568124 + ... + 2568644.

It is an arithmetic number, because the mean of its divisors is an integer number (14363700).

Almost surely, 2^1338128064 is an apocalyptic number.

1338128064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338128064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413101600).

1338128064 is an abundant number, since it is smaller than the sum of its proper divisors (3488075136).

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

1338128064 is a wasteful number, since it uses less digits than its factorization.

1338128064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1338128064 is about 36580.4328022510. The cubic root of 1338128064 is about 1101.9601589895.

The spelling of 1338128064 in words is "one billion, three hundred thirty-eight million, one hundred twenty-eight thousand, sixty-four".