1363121364 has 96 divisors (see below), whose sum is σ = 3539966976. Its totient is φ = 404801280.

The previous prime is 1363121359. The next prime is 1363121393. The reversal of 1363121364 is 4631213631.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454304 + ... + 1455240.

It is an arithmetic number, because the mean of its divisors is an integer number (36874656).

Almost surely, 2^1363121364 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 1363121364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769983488).

1363121364 is an abundant number, since it is smaller than the sum of its proper divisors (2176845612).

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

1363121364 is a wasteful number, since it uses less digits than its factorization.

1363121364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1163 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 1363121364 is about 36920.4735072561. The cubic root of 1363121364 is about 1108.7786159668.

Adding to 1363121364 its reverse (4631213631), we get a palindrome (5994334995).

The spelling of 1363121364 in words is "one billion, three hundred sixty-three million, one hundred twenty-one thousand, three hundred sixty-four".