1361661648 has 120 divisors (see below), whose sum is σ = 3776954688. Its totient is φ = 422596608.

The previous prime is 1361661629. The next prime is 1361661661. The reversal of 1361661648 is 8461661631.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1428340 + ... + 1429292.

Almost surely, 2^1361661648 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 1361661648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888477344).

1361661648 is an abundant number, since it is smaller than the sum of its proper divisors (2415293040).

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

1361661648 is a wasteful number, since it uses less digits than its factorization.

1361661648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1078 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 1361661648 is about 36900.6998307620. The cubic root of 1361661648 is about 1108.3826913377.

The spelling of 1361661648 in words is "one billion, three hundred sixty-one million, six hundred sixty-one thousand, six hundred forty-eight".