3145818564000 has 576 divisors, whose sum is σ = 12902896581120. Its totient is φ = 710960025600.

The previous prime is 3145818563999. The next prime is 3145818564011. The reversal of 3145818564000 is 4658185413.

3145818564000 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 81 + 8 + 564 + 0 + 0 + 0 = 666.

3145818564000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 22357869 + ... + 22498131.

It is an arithmetic number, because the mean of its divisors is an integer number (22400862120).

Almost surely, 2^{3145818564000} is an apocalyptic number.

3145818564000 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 3145818564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451448290560).

3145818564000 is an abundant number, since it is smaller than the sum of its proper divisors (9757078017120).

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

3145818564000 is a wasteful number, since it uses less digits than its factorization.

3145818564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140390 (or 140369 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 3145818564000 in words is "three trillion, one hundred forty-five billion, eight hundred eighteen million, five hundred sixty-four thousand".