164472116101520 has 40 divisors (see below), whose sum is σ = 382398624709560. Its totient is φ = 65788682178560.

The previous prime is 164472116101519. The next prime is 164472116101583. The reversal of 164472116101520 is 25101611274461.

It can be written as a sum of positive squares in 4 ways, for example, as 19909872354304 + 144562243747216 = 4462048^2 + 12023404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32681216 + ... + 37376544.

It is an arithmetic number, because the mean of its divisors is an integer number (9559965617739).

Almost surely, 2^{164472116101520} is an apocalyptic number.

164472116101520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164472116101520 is an abundant number, since it is smaller than the sum of its proper divisors (217926508608040).

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

164472116101520 is a wasteful number, since it uses less digits than its factorization.

164472116101520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133203 (or 5133197 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

Adding to 164472116101520 its reverse (25101611274461), we get a palindrome (189573727375981).

The spelling of 164472116101520 in words is "one hundred sixty-four trillion, four hundred seventy-two billion, one hundred sixteen million, one hundred one thousand, five hundred twenty".