164979000048 has 80 divisors (see below), whose sum is σ = 432488318976. Its totient is φ = 54182096640.

The previous prime is 164979000047. The next prime is 164979000049. The reversal of 164979000048 is 840000979461.

It is an interprime number because it is at equal distance from previous prime (164979000047) and next prime (164979000049).

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

It is a junction number, because it is equal to n+sod(n) for n = 164978999970 and 164979000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164979000047) 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 15 ways as a sum of consecutive naturals, for example, 5324890 + ... + 5355782.

Almost surely, 2^164979000048 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 164979000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216244159488).

164979000048 is an abundant number, since it is smaller than the sum of its proper divisors (267509318928).

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

164979000048 is a wasteful number, since it uses less digits than its factorization.

164979000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32542 (or 32536 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 164979000048 in words is "one hundred sixty-four billion, nine hundred seventy-nine million, forty-eight", and thus it is an aban number.