164067457225 has 48 divisors (see below), whose sum is σ = 240894403200. Its totient is φ = 108456929280.

The previous prime is 164067457201. The next prime is 164067457319. The reversal of 164067457225 is 522754760461.

164067457225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164067457225 - 2⁵ = 164067457193 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3319897 + ... + 3368953.

It is an arithmetic number, because the mean of its divisors is an integer number (5018633400).

Almost surely, 2^164067457225 is an apocalyptic number.

It is an amenable number.

164067457225 is a deficient number, since it is larger than the sum of its proper divisors (76826945975).

164067457225 is a wasteful number, since it uses less digits than its factorization.

164067457225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49762 (or 49757 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 164067457225 in words is "one hundred sixty-four billion, sixty-seven million, four hundred fifty-seven thousand, two hundred twenty-five".