318000990069000 has 1280 divisors, whose sum is σ = 1357957560960000. Its totient is φ = 67829819904000.

The previous prime is 318000990068989. The next prime is 318000990069031. The reversal of 318000990069000 is 960099000813.

It is a super-2 number, since 2×318000990069000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 534383626 + ... + 534978374.

It is an arithmetic number, because the mean of its divisors is an integer number (1060904344500).

Almost surely, 2^{318000990069000} is an apocalyptic number.

318000990069000 is a gapful number since it is divisible by the number (30) 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 318000990069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678978780480000).

318000990069000 is an abundant number, since it is smaller than the sum of its proper divisors (1039956570891000).

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

318000990069000 is a wasteful number, since it uses less digits than its factorization.

318000990069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594853 (or 594830 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 318000990069000 in words is "three hundred eighteen trillion, nine hundred ninety million, sixty-nine thousand".