164393087040 has 1512 divisors, whose sum is σ = 730332807048. Its totient is φ = 33814609920.

The previous prime is 164393087039. The next prime is 164393087051. The reversal of 164393087040 is 40780393461.

It can be written as a sum of positive squares in 12 ways, for example, as 163112592384 + 1280494656 = 403872^2 + 35784^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1454806024 + ... + 1454806136.

Almost surely, 2^164393087040 is an apocalyptic number.

164393087040 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 164393087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365166403524).

164393087040 is an abundant number, since it is smaller than the sum of its proper divisors (565939720008).

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

164393087040 is a wasteful number, since it uses less digits than its factorization.

164393087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 164393087040 in words is "one hundred sixty-four billion, three hundred ninety-three million, eighty-seven thousand, forty".