323219987148432 has 320 divisors, whose sum is σ = 990607182796800. Its totient is φ = 89686547619840.

The previous prime is 323219987148407. The next prime is 323219987148479. The reversal of 323219987148432 is 234841789912323.

It is a Smith number, since the sum of its digits (66) 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 (66).

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, 7976977869 + ... + 7977018387.

It is an arithmetic number, because the mean of its divisors is an integer number (3095647446240).

Almost surely, 2^{323219987148432} 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 323219987148432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495303591398400).

323219987148432 is an abundant number, since it is smaller than the sum of its proper divisors (667387195648368).

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

323219987148432 is a wasteful number, since it uses less digits than its factorization.

323219987148432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64614 (or 64608 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 323219987148432 in words is "three hundred twenty-three trillion, two hundred nineteen billion, nine hundred eighty-seven million, one hundred forty-eight thousand, four hundred thirty-two".