164419227648 has 624 divisors, whose sum is σ = 539965922496. Its totient is φ = 49686773760.

The previous prime is 164419227647. The next prime is 164419227683. The reversal of 164419227648 is 846722914461.

164419227648 is a `hidden beast` number, since 1 + 6 + 441 + 92 + 2 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×164419227648³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164419227594 and 164419227603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164419227647) 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, 1255108543 + ... + 1255108673.

It is an arithmetic number, because the mean of its divisors is an integer number (865330004).

Almost surely, 2^164419227648 is an apocalyptic number.

164419227648 is a gapful number since it is divisible by the number (18) 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 164419227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982961248).

164419227648 is an abundant number, since it is smaller than the sum of its proper divisors (375546694848).

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

164419227648 is an equidigital number, since it uses as much as digits as its factorization.

164419227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 246 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 164419227648 in words is "one hundred sixty-four billion, four hundred nineteen million, two hundred twenty-seven thousand, six hundred forty-eight".