164506520352 has 24 divisors (see below), whose sum is σ = 431829616176. Its totient is φ = 54835506752.

The previous prime is 164506520303. The next prime is 164506520359. The reversal of 164506520352 is 253025605461.

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 164506520352.

It is not an unprimeable number, because it can be changed into a prime (164506520359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 856804698 + ... + 856804889.

It is an arithmetic number, because the mean of its divisors is an integer number (17992900674).

Almost surely, 2^164506520352 is an apocalyptic number.

164506520352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164506520352 is an abundant number, since it is smaller than the sum of its proper divisors (267323095824).

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

164506520352 is a wasteful number, since it uses less digits than its factorization.

164506520352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713609600 (or 1713609592 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 164506520352 in words is "one hundred sixty-four billion, five hundred six million, five hundred twenty thousand, three hundred fifty-two".