164807353854906 has 96 divisors (see below), whose sum is σ = 384974661496320. Its totient is φ = 46898058060000.

The previous prime is 164807353854901. The next prime is 164807353855021. The reversal of 164807353854906 is 609458353708461.

164807353854906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164807353854906² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164807353854901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2307576465 + ... + 2307647883.

It is an arithmetic number, because the mean of its divisors is an integer number (4010152723920).

Almost surely, 2^{164807353854906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164807353854906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192487330748160).

164807353854906 is an abundant number, since it is smaller than the sum of its proper divisors (220167307641414).

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

164807353854906 is a wasteful number, since it uses less digits than its factorization.

164807353854906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102960 (or 102953 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 164807353854906 in words is "one hundred sixty-four trillion, eight hundred seven billion, three hundred fifty-three million, eight hundred fifty-four thousand, nine hundred six".