320946090528 has 192 divisors, whose sum is σ = 984151461888. Its totient is φ = 89672355840.

The previous prime is 320946090523. The next prime is 320946090533. The reversal of 320946090528 is 825090649023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320946090523) and next prime (320946090533).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (320946090523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45066808 + ... + 45073928.

It is an arithmetic number, because the mean of its divisors is an integer number (5125788864).

Almost surely, 2^320946090528 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 320946090528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492075730944).

320946090528 is an abundant number, since it is smaller than the sum of its proper divisors (663205371360).

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

320946090528 is a wasteful number, since it uses less digits than its factorization.

320946090528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 320946090528 in words is "three hundred twenty billion, nine hundred forty-six million, ninety thousand, five hundred twenty-eight".