164049390000 has 300 divisors, whose sum is σ = 575647321392. Its totient is φ = 43598400000.

The previous prime is 164049389963. The next prime is 164049390049. The reversal of 164049390000 is 93940461.

164049390000 is a `hidden beast` number, since 1 + 640 + 4 + 9 + 3 + 9 + 0 + 0 + 0 + 0 = 666.

164049390000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27987070 + ... + 27992930.

Almost surely, 2^164049390000 is an apocalyptic number.

164049390000 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 164049390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287823660696).

164049390000 is an abundant number, since it is smaller than the sum of its proper divisors (411597931392).

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

164049390000 is a wasteful number, since it uses less digits than its factorization.

164049390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 164049390000 in words is "one hundred sixty-four billion, forty-nine million, three hundred ninety thousand".