164153493504 has 1728 divisors, whose sum is σ = 685142115840. Its totient is φ = 37158912000.

The previous prime is 164153493503. The next prime is 164153493509. The reversal of 164153493504 is 405394351461.

164153493504 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 53 + 4 + 93 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164153493504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164153493503) 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 143 ways as a sum of consecutive naturals, for example, 4003743724 + ... + 4003743764.

It is an arithmetic number, because the mean of its divisors is an integer number (396494280).

Almost surely, 2^164153493504 is an apocalyptic number.

164153493504 is a gapful number since it is divisible by the number (14) 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 164153493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342571057920).

164153493504 is an abundant number, since it is smaller than the sum of its proper divisors (520988622336).

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

164153493504 is a wasteful number, since it uses less digits than its factorization.

164153493504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 164153493504 in words is "one hundred sixty-four billion, one hundred fifty-three million, four hundred ninety-three thousand, five hundred four".