18005970312 has 480 divisors, whose sum is σ = 60297120000. Its totient is φ = 4829932800.

The previous prime is 18005970277. The next prime is 18005970329. The reversal of 18005970312 is 21307950081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 580837737 + ... + 580837767.

It is an arithmetic number, because the mean of its divisors is an integer number (125619000).

Almost surely, 2^18005970312 is an apocalyptic number.

18005970312 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 18005970312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30148560000).

18005970312 is an abundant number, since it is smaller than the sum of its proper divisors (42291149688).

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

18005970312 is a wasteful number, since it uses less digits than its factorization.

18005970312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 18005970312 in words is "eighteen billion, five million, nine hundred seventy thousand, three hundred twelve".