164248153968384 has 252 divisors, whose sum is σ = 495093665277400. Its totient is φ = 54355495606272.

The previous prime is 164248153968383. The next prime is 164248153968403. The reversal of 164248153968384 is 483869351842461.

164248153968384 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 4 + 8 + 1 + 539 + 6 + 8 + 3 + 84 = 666.

164248153968384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164248153968383) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 22774902 + ... + 29106570.

Almost surely, 2^{164248153968384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164248153968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247546832638700).

164248153968384 is an abundant number, since it is smaller than the sum of its proper divisors (330845511309016).

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

164248153968384 is an frugal number, since it uses more digits than its factorization.

164248153968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331842 (or 6331813 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 72.

The spelling of 164248153968384 in words is "one hundred sixty-four trillion, two hundred forty-eight billion, one hundred fifty-three million, nine hundred sixty-eight thousand, three hundred eighty-four".