164299181760 has 336 divisors, whose sum is σ = 669774932736. Its totient is φ = 37553974272.

The previous prime is 164299181723. The next prime is 164299181777. The reversal of 164299181760 is 67181992461.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×164299181760² (a number of 23 digits) contains 22 as substring.

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 = 164299181697 and 164299181706.

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 47 ways as a sum of consecutive naturals, for example, 393399 + ... + 695241.

It is an arithmetic number, because the mean of its divisors is an integer number (1993377776).

Almost surely, 2^164299181760 is an apocalyptic number.

164299181760 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 164299181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334887466368).

164299181760 is an abundant number, since it is smaller than the sum of its proper divisors (505475750976).

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

164299181760 is an equidigital number, since it uses as much as digits as its factorization.

164299181760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301882 (or 301860 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 164299181760 in words is "one hundred sixty-four billion, two hundred ninety-nine million, one hundred eighty-one thousand, seven hundred sixty".