164498435712 has 512 divisors, whose sum is σ = 546597273600. Its totient is φ = 48358010880.

The previous prime is 164498435701. The next prime is 164498435713. The reversal of 164498435712 is 217534894461.

164498435712 is a `hidden beast` number, since 1 + 64 + 4 + 9 + 8 + 4 + 3 + 571 + 2 = 666.

164498435712 is digitally balanced in base 2, 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 (54).

It is not an unprimeable number, because it can be changed into a prime (164498435713) 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 63 ways as a sum of consecutive naturals, for example, 115599033 + ... + 115600455.

It is an arithmetic number, because the mean of its divisors is an integer number (1067572800).

Almost surely, 2^164498435712 is an apocalyptic number.

164498435712 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 164498435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273298636800).

164498435712 is an abundant number, since it is smaller than the sum of its proper divisors (382098837888).

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

164498435712 is a wasteful number, since it uses less digits than its factorization.

164498435712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1555 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 164498435712 in words is "one hundred sixty-four billion, four hundred ninety-eight million, four hundred thirty-five thousand, seven hundred twelve".