1318104000 has 168 divisors, whose sum is σ = 4715335248. Its totient is φ = 351475200.

The previous prime is 1318103977. The next prime is 1318104017. The reversal of 1318104000 is 4018131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62847 + ... + 81153.

Almost surely, 2^1318104000 is an apocalyptic number.

1318104000 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 1318104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357667624).

1318104000 is an abundant number, since it is smaller than the sum of its proper divisors (3397231248).

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

1318104000 is a wasteful number, since it uses less digits than its factorization.

1318104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18340 (or 18317 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1318104000 is about 36305.7020314991. The cubic root of 1318104000 is about 1096.4358470417.

The spelling of 1318104000 in words is "one billion, three hundred eighteen million, one hundred four thousand".