3018669564096 has 224 divisors, whose sum is σ = 9410624775360. Its totient is φ = 945594777600.

The previous prime is 3018669564073. The next prime is 3018669564121. The reversal of 3018669564096 is 6904659668103.

3018669564096 is a `hidden beast` number, since 3 + 0 + 1 + 8 + 6 + 69 + 564 + 0 + 9 + 6 = 666.

It is a super-3 number, since 3×3018669564096³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19339806 + ... + 19495266.

Almost surely, 2^{3018669564096} is an apocalyptic number.

3018669564096 is a gapful number since it is divisible by the number (36) 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 3018669564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705312387680).

3018669564096 is an abundant number, since it is smaller than the sum of its proper divisors (6391955211264).

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

3018669564096 is a wasteful number, since it uses less digits than its factorization.

3018669564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156160 (or 156144 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3018669564096 in words is "three trillion, eighteen billion, six hundred sixty-nine million, five hundred sixty-four thousand, ninety-six".