164226426480 has 160 divisors (see below), whose sum is σ = 569798798400. Its totient is φ = 43473973248.

The previous prime is 164226426461. The next prime is 164226426509. The reversal of 164226426480 is 84624622461.

164226426480 is a `hidden beast` number, since 16 + 42 + 264 + 264 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18436 + ... + 573404.

It is an arithmetic number, because the mean of its divisors is an integer number (3561242490).

Almost surely, 2^164226426480 is an apocalyptic number.

164226426480 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 164226426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284899399200).

164226426480 is an abundant number, since it is smaller than the sum of its proper divisors (405572371920).

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

164226426480 is a wasteful number, since it uses less digits than its factorization.

164226426480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555128 (or 555116 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 164226426480 in words is "one hundred sixty-four billion, two hundred twenty-six million, four hundred twenty-six thousand, four hundred eighty".