164097193152 has 56 divisors (see below), whose sum is σ = 434507696896. Its totient is φ = 54657001728.

The previous prime is 164097193151. The next prime is 164097193153. The reversal of 164097193152 is 251391790461.

It is an interprime number because it is at equal distance from previous prime (164097193151) and next prime (164097193153).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (164097193151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77788 + ... + 578139.

It is an arithmetic number, because the mean of its divisors is an integer number (7759066016).

Almost surely, 2^164097193152 is an apocalyptic number.

164097193152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164097193152 is an abundant number, since it is smaller than the sum of its proper divisors (270410503744).

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

164097193152 is a wasteful number, since it uses less digits than its factorization.

164097193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657245 (or 657235 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 164097193152 in words is "one hundred sixty-four billion, ninety-seven million, one hundred ninety-three thousand, one hundred fifty-two".