1338997536 has 72 divisors (see below), whose sum is σ = 3859996140. Its totient is φ = 440211456.

The previous prime is 1338997531. The next prime is 1338997549. The reversal of 1338997536 is 6357998331.

1338997536 is a `hidden beast` number, since 13 + 3 + 8 + 9 + 97 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1335171600 + 3825936 = 36540^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1338997531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10821 + ... + 52868.

Almost surely, 2^1338997536 is an apocalyptic number.

1338997536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1338997536 is an abundant number, since it is smaller than the sum of its proper divisors (2520998604).

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

1338997536 is a wasteful number, since it uses less digits than its factorization.

1338997536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63778 (or 63767 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 1338997536 is about 36592.3152588081. The cubic root of 1338997536 is about 1102.1987799120.

The spelling of 1338997536 in words is "one billion, three hundred thirty-eight million, nine hundred ninety-seven thousand, five hundred thirty-six".