1363845000 has 320 divisors, whose sum is σ = 5038387200. Its totient is φ = 300960000.

The previous prime is 1363844957. The next prime is 1363845011. The reversal of 1363845000 is 5483631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3254791 + ... + 3255209.

It is an arithmetic number, because the mean of its divisors is an integer number (15744960).

Almost surely, 2^1363845000 is an apocalyptic number.

1363845000 is a gapful number since it is divisible by the number (10) 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 1363845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519193600).

1363845000 is an abundant number, since it is smaller than the sum of its proper divisors (3674542200).

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

1363845000 is a wasteful number, since it uses less digits than its factorization.

1363845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1363845000 is about 36930.2721354717. The cubic root of 1363845000 is about 1108.9747858763.

The spelling of 1363845000 in words is "one billion, three hundred sixty-three million, eight hundred forty-five thousand".