1363838112 has 216 divisors, whose sum is σ = 4800860064. Its totient is φ = 359603712.

The previous prime is 1363838111. The next prime is 1363838117. The reversal of 1363838112 is 2118383631.

1363838112 is a `hidden beast` number, since 1 + 3 + 638 + 3 + 8 + 1 + 12 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1363838111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 338703 + ... + 342705.

It is an arithmetic number, because the mean of its divisors is an integer number (22226204).

Almost surely, 2^1363838112 is an apocalyptic number.

1363838112 is a gapful number since it is divisible by the number (12) 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 1363838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400430032).

1363838112 is an abundant number, since it is smaller than the sum of its proper divisors (3437021952).

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

1363838112 is a wasteful number, since it uses less digits than its factorization.

1363838112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052 (or 4028 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1363838112 is about 36930.1788785270. The cubic root of 1363838112 is about 1108.9729189410.

The spelling of 1363838112 in words is "one billion, three hundred sixty-three million, eight hundred thirty-eight thousand, one hundred twelve".