1361138688 has 352 divisors, whose sum is σ = 4970443520. Its totient is φ = 358318080.

The previous prime is 1361138683. The next prime is 1361138719. The reversal of 1361138688 is 8868311631.

It is a super-2 number, since 2×1361138688² = 3705397055940722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361138683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515698 + ... + 2516238.

Almost surely, 2^1361138688 is an apocalyptic number.

1361138688 is a gapful number since it is divisible by the number (18) 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 1361138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485221760).

1361138688 is an abundant number, since it is smaller than the sum of its proper divisors (3609304832).

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

1361138688 is a wasteful number, since it uses less digits than its factorization.

1361138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 566 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1361138688 is about 36893.6131057938. The cubic root of 1361138688 is about 1108.2407779546.

The spelling of 1361138688 in words is "one billion, three hundred sixty-one million, one hundred thirty-eight thousand, six hundred eighty-eight".