1314036000 has 384 divisors, whose sum is σ = 5000486400. Its totient is φ = 335174400.

The previous prime is 1314035963. The next prime is 1314036001. The reversal of 1314036000 is 6304131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is not an unprimeable number, because it can be changed into a prime (1314036001) 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, 57131989 + ... + 57132011.

It is an arithmetic number, because the mean of its divisors is an integer number (13022100).

Almost surely, 2^1314036000 is an apocalyptic number.

1314036000 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 1314036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500243200).

1314036000 is an abundant number, since it is smaller than the sum of its proper divisors (3686450400).

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

1314036000 is an frugal number, since it uses more digits than its factorization.

1314036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1314036000 is about 36249.6344809158. The cubic root of 1314036000 is about 1095.3067258581.

The spelling of 1314036000 in words is "one billion, three hundred fourteen million, thirty-six thousand".