164096005392 has 120 divisors (see below), whose sum is σ = 502896259008. Its totient is φ = 49536864000.

The previous prime is 164096005391. The next prime is 164096005429. The reversal of 164096005392 is 293500690461.

164096005392 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 9 + 600 + 5 + 39 + 2 = 666.

It is a super-2 number, since 2×164096005392² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164096005391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219642 + ... + 613542.

Almost surely, 2^164096005392 is an apocalyptic number.

164096005392 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 164096005392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251448129504).

164096005392 is an abundant number, since it is smaller than the sum of its proper divisors (338800253616).

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

164096005392 is a wasteful number, since it uses less digits than its factorization.

164096005392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394189 (or 394180 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 164096005392 in words is "one hundred sixty-four billion, ninety-six million, five thousand, three hundred ninety-two".