164997064020 has 96 divisors (see below), whose sum is σ = 466965007488. Its totient is φ = 43525988352.

The previous prime is 164997064007. The next prime is 164997064027. The reversal of 164997064020 is 20460799461.

It is a happy number.

164997064020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164997064020² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164997064027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16622779 + ... + 16632701.

It is an arithmetic number, because the mean of its divisors is an integer number (4864218828).

Almost surely, 2^164997064020 is an apocalyptic number.

164997064020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164997064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233482503744).

164997064020 is an abundant number, since it is smaller than the sum of its proper divisors (301967943468).

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

164997064020 is a wasteful number, since it uses less digits than its factorization.

164997064020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12889 (or 12887 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 164997064020 in words is "one hundred sixty-four billion, nine hundred ninety-seven million, sixty-four thousand, twenty".