164254314432 has 448 divisors, whose sum is σ = 514980716544. Its totient is φ = 45723156480.

The previous prime is 164254314407. The next prime is 164254314443. The reversal of 164254314432 is 234413452461.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 253870333 + ... + 253870979.

It is an arithmetic number, because the mean of its divisors is an integer number (1149510528).

Almost surely, 2^164254314432 is an apocalyptic number.

164254314432 is a gapful number since it is divisible by the number (12) 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 164254314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257490358272).

164254314432 is an abundant number, since it is smaller than the sum of its proper divisors (350726402112).

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

164254314432 is a wasteful number, since it uses less digits than its factorization.

164254314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

Adding to 164254314432 its reverse (234413452461), we get a palindrome (398667766893).

The spelling of 164254314432 in words is "one hundred sixty-four billion, two hundred fifty-four million, three hundred fourteen thousand, four hundred thirty-two".