164008161072 has 300 divisors, whose sum is σ = 555325923880. Its totient is φ = 46856807424.

The previous prime is 164008161059. The next prime is 164008161089. The reversal of 164008161072 is 270161800461.

It is a happy number.

164008161072 is a `hidden beast` number, since 1 + 640 + 0 + 8 + 1 + 6 + 1 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9326304 + ... + 9343872.

Almost surely, 2^164008161072 is an apocalyptic number.

164008161072 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 164008161072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277662961940).

164008161072 is an abundant number, since it is smaller than the sum of its proper divisors (391317762808).

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

164008161072 is an frugal number, since it uses more digits than its factorization.

164008161072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17620 (or 17581 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 164008161072 in words is "one hundred sixty-four billion, eight million, one hundred sixty-one thousand, seventy-two".