164956238464 has 64 divisors (see below), whose sum is σ = 344653626240. Its totient is φ = 78491370496.

The previous prime is 164956238459. The next prime is 164956238467. The reversal of 164956238464 is 464832659461.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 164956238399 and 164956238408.

It is not an unprimeable number, because it can be changed into a prime (164956238467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437757 + ... + 722179.

It is an arithmetic number, because the mean of its divisors is an integer number (5385212910).

Almost surely, 2^164956238464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164956238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172326813120).

164956238464 is an abundant number, since it is smaller than the sum of its proper divisors (179697387776).

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

164956238464 is a wasteful number, since it uses less digits than its factorization.

164956238464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284657 (or 284645 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 164956238464 in words is "one hundred sixty-four billion, nine hundred fifty-six million, two hundred thirty-eight thousand, four hundred sixty-four".