164406634441152 has 56 divisors (see below), whose sum is σ = 436128304613376. Its totient is φ = 54659124741888.

The previous prime is 164406634441141. The next prime is 164406634441211. The reversal of 164406634441152 is 251144436604461.

It is a super-3 number, since 3×164406634441152³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164406634441095 and 164406634441104.

It is a congruent number.

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, 1117791418 + ... + 1117938489.

Almost surely, 2^{164406634441152} is an apocalyptic number.

164406634441152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164406634441152 is an abundant number, since it is smaller than the sum of its proper divisors (271721670172224).

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

164406634441152 is a wasteful number, since it uses less digits than its factorization.

164406634441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235730305 (or 2235730295 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 164406634441152 in words is "one hundred sixty-four trillion, four hundred six billion, six hundred thirty-four million, four hundred forty-one thousand, one hundred fifty-two".