164405020553532 has 120 divisors (see below), whose sum is σ = 468866832687792. Its totient is φ = 49818845664000.

The previous prime is 164405020553519. The next prime is 164405020553563. The reversal of 164405020553532 is 235355020504461.

164405020553532 is a `hidden beast` number, since 1 + 6 + 4 + 40 + 5 + 0 + 2 + 0 + 553 + 53 + 2 = 666.

It is a super-3 number, since 3×164405020553532³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 224569282 + ... + 225300182.

Almost surely, 2^{164405020553532} is an apocalyptic number.

164405020553532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164405020553532 is an abundant number, since it is smaller than the sum of its proper divisors (304461812134260).

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

164405020553532 is a wasteful number, since it uses less digits than its factorization.

164405020553532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794041 (or 794030 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 164405020553532 in words is "one hundred sixty-four trillion, four hundred five billion, twenty million, five hundred fifty-three thousand, five hundred thirty-two".