320547508854144 has 512 divisors, whose sum is σ = 1012572946344960. Its totient is φ = 88568837406720.

The previous prime is 320547508854121. The next prime is 320547508854151. The reversal of 320547508854144 is 441458805745023.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2245335214 + ... + 2245477970.

It is an arithmetic number, because the mean of its divisors is an integer number (1977681535830).

Almost surely, 2^{320547508854144} 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 320547508854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506286473172480).

320547508854144 is an abundant number, since it is smaller than the sum of its proper divisors (692025437490816).

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

320547508854144 is a wasteful number, since it uses less digits than its factorization.

320547508854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143298 (or 143286 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 60.

The spelling of 320547508854144 in words is "three hundred twenty trillion, five hundred forty-seven billion, five hundred eight million, eight hundred fifty-four thousand, one hundred forty-four".