164469015440 has 40 divisors (see below), whose sum is σ = 395576344440. Its totient is φ = 63519067136.

The previous prime is 164469015437. The next prime is 164469015461. The reversal of 164469015440 is 44510964461.

164469015440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48497296 + 164420518144 = 6964^2 + 405488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 164469015391 and 164469015400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35443589 + ... + 35448228.

It is an arithmetic number, because the mean of its divisors is an integer number (9889408611).

Almost surely, 2^164469015440 is an apocalyptic number.

164469015440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164469015440 is an abundant number, since it is smaller than the sum of its proper divisors (231107329000).

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

164469015440 is a wasteful number, since it uses less digits than its factorization.

164469015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70891859 (or 70891853 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 164469015440 in words is "one hundred sixty-four billion, four hundred sixty-nine million, fifteen thousand, four hundred forty".