164948355072 has 384 divisors, whose sum is σ = 520310044800. Its totient is φ = 51453886464.

The previous prime is 164948355071. The next prime is 164948355073. The reversal of 164948355072 is 270553849461.

It is a happy number.

164948355072 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 4 + 83 + 550 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (164948355071) and next prime (164948355073).

It is a tau number, because it is divible by the number of its divisors (384).

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 (164948355071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213386878 + ... + 213387650.

It is an arithmetic number, because the mean of its divisors is an integer number (1354974075).

It is a 1-persistent number, because it is pandigital, but 2⋅164948355072 = 329896710144 is not.

Almost surely, 2^164948355072 is an apocalyptic number.

164948355072 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 164948355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260155022400).

164948355072 is an abundant number, since it is smaller than the sum of its proper divisors (355361689728).

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

164948355072 is a wasteful number, since it uses less digits than its factorization.

164948355072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 164948355072 in words is "one hundred sixty-four billion, nine hundred forty-eight million, three hundred fifty-five thousand, seventy-two".