164984338624 has 56 divisors (see below), whose sum is σ = 374200440320. Its totient is φ = 70700103936.

The previous prime is 164984338577. The next prime is 164984338627. The reversal of 164984338624 is 426833489461.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (164984338627) 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, 7276297 + ... + 7298935.

It is an arithmetic number, because the mean of its divisors is an integer number (6682150720).

Almost surely, 2^164984338624 is an apocalyptic number.

164984338624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164984338624 is an abundant number, since it is smaller than the sum of its proper divisors (209216101696).

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

164984338624 is a wasteful number, since it uses less digits than its factorization.

164984338624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38925 (or 38915 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 58.

The spelling of 164984338624 in words is "one hundred sixty-four billion, nine hundred eighty-four million, three hundred thirty-eight thousand, six hundred twenty-four".