1363408536 has 256 divisors, whose sum is σ = 4377600000. Its totient is φ = 352066176.

The previous prime is 1363408507. The next prime is 1363408537. The reversal of 1363408536 is 6358043631.

It is a junction number, because it is equal to n+sod(n) for n = 1363408494 and 1363408503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363408537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3597195 + ... + 3597573.

It is an arithmetic number, because the mean of its divisors is an integer number (17100000).

Almost surely, 2^1363408536 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 1363408536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188800000).

1363408536 is an abundant number, since it is smaller than the sum of its proper divisors (3014191464).

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

1363408536 is a wasteful number, since it uses less digits than its factorization.

1363408536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 1363408536 is about 36924.3623641628. The cubic root of 1363408536 is about 1108.8564735036.

The spelling of 1363408536 in words is "one billion, three hundred sixty-three million, four hundred eight thousand, five hundred thirty-six".