320923289952 has 288 divisors, whose sum is σ = 971115868800. Its totient is φ = 103104472320.

The previous prime is 320923289941. The next prime is 320923289989. The reversal of 320923289952 is 259982329023.

320923289952 is a `hidden beast` number, since 320 + 9 + 232 + 89 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254902699 + ... + 254903957.

It is an arithmetic number, because the mean of its divisors is an integer number (3371930100).

Almost surely, 2^320923289952 is an apocalyptic number.

320923289952 is a gapful number since it is divisible by the number (32) 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 320923289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485557934400).

320923289952 is an abundant number, since it is smaller than the sum of its proper divisors (650192578848).

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

320923289952 is a wasteful number, since it uses less digits than its factorization.

320923289952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 320923289952 in words is "three hundred twenty billion, nine hundred twenty-three million, two hundred eighty-nine thousand, nine hundred fifty-two".