164467894500 has 384 divisors, whose sum is σ = 654952596480. Its totient is φ = 34700659200.

The previous prime is 164467894463. The next prime is 164467894559. The reversal of 164467894500 is 5498764461.

164467894500 is a `hidden beast` number, since 1 + 6 + 4 + 46 + 7 + 8 + 94 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1161562 + ... + 1295438.

It is an arithmetic number, because the mean of its divisors is an integer number (1705605720).

Almost surely, 2^164467894500 is an apocalyptic number.

164467894500 is a gapful number since it is divisible by the number (10) 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 164467894500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327476298240).

164467894500 is an abundant number, since it is smaller than the sum of its proper divisors (490484701980).

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

164467894500 is a wasteful number, since it uses less digits than its factorization.

164467894500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133925 (or 133907 counting only the distinct ones).

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

The spelling of 164467894500 in words is "one hundred sixty-four billion, four hundred sixty-seven million, eight hundred ninety-four thousand, five hundred".