320423148864 has 840 divisors, whose sum is σ = 1252774390560. Its totient is φ = 80043780096.

The previous prime is 320423148797. The next prime is 320423148869. The reversal of 320423148864 is 468841324023.

It is a happy number.

320423148864 is a `hidden beast` number, since 3 + 2 + 0 + 423 + 148 + 86 + 4 = 666.

It is a super-2 number, since 2×320423148864² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320423148869) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62739399 + ... + 62744505.

It is an arithmetic number, because the mean of its divisors is an integer number (1491398084).

Almost surely, 2^320423148864 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 320423148864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626387195280).

320423148864 is an abundant number, since it is smaller than the sum of its proper divisors (932351241696).

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

320423148864 is a wasteful number, since it uses less digits than its factorization.

320423148864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5177 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 320423148864 in words is "three hundred twenty billion, four hundred twenty-three million, one hundred forty-eight thousand, eight hundred sixty-four".