1363811904 has 560 divisors, whose sum is σ = 5163312000. Its totient is φ = 353590272.

The previous prime is 1363811903. The next prime is 1363811909. The reversal of 1363811904 is 4091183631.

1363811904 is a `hidden beast` number, since 1 + 3 + 638 + 1 + 19 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1363811903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23115427 + ... + 23115485.

It is an arithmetic number, because the mean of its divisors is an integer number (9220200).

Almost surely, 2^1363811904 is an apocalyptic number.

1363811904 is a gapful number since it is divisible by the number (14) 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 1363811904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581656000).

1363811904 is an abundant number, since it is smaller than the sum of its proper divisors (3799500096).

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

1363811904 is an equidigital number, since it uses as much as digits as its factorization.

1363811904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1363811904 is about 36929.8240450723. The cubic root of 1363811904 is about 1108.9658154223.

The spelling of 1363811904 in words is "one billion, three hundred sixty-three million, eight hundred eleven thousand, nine hundred four".