164304131451020 has 96 divisors (see below), whose sum is σ = 377418989263680. Its totient is φ = 59586243010560.

The previous prime is 164304131451007. The next prime is 164304131451037. The reversal of 164304131451020 is 20154131403461.

It is a super-2 number, since 2×164304131451020² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250492046 + ... + 251147114.

It is an arithmetic number, because the mean of its divisors is an integer number (3931447804830).

Almost surely, 2^{164304131451020} is an apocalyptic number.

164304131451020 is a gapful number since it is divisible by the number (10) 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 164304131451020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188709494631840).

164304131451020 is an abundant number, since it is smaller than the sum of its proper divisors (213114857812660).

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

164304131451020 is a wasteful number, since it uses less digits than its factorization.

164304131451020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658155 (or 658153 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 164304131451020 its reverse (20154131403461), we get a palindrome (184458262854481).

The spelling of 164304131451020 in words is "one hundred sixty-four trillion, three hundred four billion, one hundred thirty-one million, four hundred fifty-one thousand, twenty".