1338045696 has 144 divisors (see below), whose sum is σ = 4261494720. Its totient is φ = 411678720.

The previous prime is 1338045671. The next prime is 1338045697. The reversal of 1338045696 is 6965408331.

1338045696 is a `hidden beast` number, since 1 + 3 + 3 + 80 + 4 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338045697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82411 + ... + 97301.

Almost surely, 2^1338045696 is an apocalyptic number.

1338045696 is a gapful number since it is divisible by the number (16) 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 1338045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130747360).

1338045696 is an abundant number, since it is smaller than the sum of its proper divisors (2923449024).

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

1338045696 is a wasteful number, since it uses less digits than its factorization.

1338045696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14929 (or 14909 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1338045696 is about 36579.3069371195. The cubic root of 1338045696 is about 1101.9375482695.

The spelling of 1338045696 in words is "one billion, three hundred thirty-eight million, forty-five thousand, six hundred ninety-six".