6845970567144 has 256 divisors, whose sum is σ = 18551209420800. Its totient is φ = 2098665676800.

The previous prime is 6845970567131. The next prime is 6845970567169. The reversal of 6845970567144 is 4417650795486.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1614232864 + ... + 1614237104.

It is an arithmetic number, because the mean of its divisors is an integer number (72465661800).

Almost surely, 2^{6845970567144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6845970567144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275604710400).

6845970567144 is an abundant number, since it is smaller than the sum of its proper divisors (11705238853656).

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

6845970567144 is a wasteful number, since it uses less digits than its factorization.

6845970567144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 6845970567144 in words is "six trillion, eight hundred forty-five billion, nine hundred seventy million, five hundred sixty-seven thousand, one hundred forty-four".