164405465472 has 256 divisors, whose sum is σ = 459285534720. Its totient is φ = 52042383360.

The previous prime is 164405465459. The next prime is 164405465489. The reversal of 164405465472 is 274564504461.

It is a super-3 number, since 3×164405465472³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240710443 + ... + 240711125.

It is an arithmetic number, because the mean of its divisors is an integer number (1794084120).

Almost surely, 2^164405465472 is an apocalyptic number.

164405465472 is a gapful number since it is divisible by the number (12) 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 164405465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229642767360).

164405465472 is an abundant number, since it is smaller than the sum of its proper divisors (294880069248).

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

164405465472 is a wasteful number, since it uses less digits than its factorization.

164405465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 164405465472 in words is "one hundred sixty-four billion, four hundred five million, four hundred sixty-five thousand, four hundred seventy-two".