1361618688 has 72 divisors (see below), whose sum is σ = 3675079296. Its totient is φ = 447462400.

The previous prime is 1361618683. The next prime is 1361618719. The reversal of 1361618688 is 8868161631.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (1361618683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42043 + ... + 67013.

It is an arithmetic number, because the mean of its divisors is an integer number (51042768).

Almost surely, 2^1361618688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837539648).

1361618688 is an abundant number, since it is smaller than the sum of its proper divisors (2313460608).

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

1361618688 is an equidigital number, since it uses as much as digits as its factorization.

1361618688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25061 (or 25047 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 1361618688 is about 36900.1177233894. The cubic root of 1361618688 is about 1108.3710348391.

The spelling of 1361618688 in words is "one billion, three hundred sixty-one million, six hundred eighteen thousand, six hundred eighty-eight".