164052150316600 has 96 divisors (see below), whose sum is σ = 469441537881120. Its totient is φ = 51919801413120.

The previous prime is 164052150316591. The next prime is 164052150316609. The reversal of 164052150316600 is 6613051250461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164052150316591) and next prime (164052150316609).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164052150316609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4506909007 + ... + 4506945406.

It is an arithmetic number, because the mean of its divisors is an integer number (4890016019595).

Almost surely, 2^{164052150316600} is an apocalyptic number.

164052150316600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164052150316600 is an abundant number, since it is smaller than the sum of its proper divisors (305389387564520).

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

164052150316600 is a wasteful number, since it uses less digits than its factorization.

164052150316600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013854449 (or 9013854440 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 164052150316600 in words is "one hundred sixty-four trillion, fifty-two billion, one hundred fifty million, three hundred sixteen thousand, six hundred".