164743375392 has 720 divisors, whose sum is σ = 553685932800. Its totient is φ = 47813068800.

The previous prime is 164743375319. The next prime is 164743375397. The reversal of 164743375392 is 293573347461.

164743375392 is a `hidden beast` number, since 1 + 6 + 4 + 74 + 3 + 37 + 539 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164743375397) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 2700711042 + ... + 2700711102.

It is an arithmetic number, because the mean of its divisors is an integer number (769008240).

Almost surely, 2^164743375392 is an apocalyptic number.

164743375392 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 164743375392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276842966400).

164743375392 is an abundant number, since it is smaller than the sum of its proper divisors (388942557408).

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

164743375392 is a wasteful number, since it uses less digits than its factorization.

164743375392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 145 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 164743375392 in words is "one hundred sixty-four billion, seven hundred forty-three million, three hundred seventy-five thousand, three hundred ninety-two".