1338613536 has 96 divisors (see below), whose sum is σ = 3983394240. Its totient is φ = 390196224.

The previous prime is 1338613531. The next prime is 1338613553. The reversal of 1338613536 is 6353168331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1338613494 and 1338613503.

It is not an unprimeable number, because it can be changed into a prime (1338613531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4515 + ... + 51938.

It is an arithmetic number, because the mean of its divisors is an integer number (41493690).

Almost surely, 2^1338613536 is an apocalyptic number.

1338613536 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 1338613536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991697120).

1338613536 is an abundant number, since it is smaller than the sum of its proper divisors (2644780704).

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

1338613536 is a wasteful number, since it uses less digits than its factorization.

1338613536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56498 (or 56490 counting only the distinct ones).

The product of its digits is 116640, while the sum is 39.

The square root of 1338613536 is about 36587.0678792384. The cubic root of 1338613536 is about 1102.0934063555.

The spelling of 1338613536 in words is "one billion, three hundred thirty-eight million, six hundred thirteen thousand, five hundred thirty-six".