164286825248 has 288 divisors, whose sum is σ = 421758489600. Its totient is φ = 62874040320.

The previous prime is 164286825233. The next prime is 164286825251. The reversal of 164286825248 is 842528682461.

164286825248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 164286825193 and 164286825202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57501836 + ... + 57504692.

It is an arithmetic number, because the mean of its divisors is an integer number (1464439200).

Almost surely, 2^164286825248 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 164286825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210879244800).

164286825248 is an abundant number, since it is smaller than the sum of its proper divisors (257471664352).

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

164286825248 is a wasteful number, since it uses less digits than its factorization.

164286825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2910 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 56.

The spelling of 164286825248 in words is "one hundred sixty-four billion, two hundred eighty-six million, eight hundred twenty-five thousand, two hundred forty-eight".