164443510000 has 300 divisors, whose sum is σ = 505255485240. Its totient is φ = 51253440000.

The previous prime is 164443509973. The next prime is 164443510003. The reversal of 164443510000 is 15344461.

It is a super-2 number, since 2×164443510000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164443510003) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5374746 + ... + 5405254.

Almost surely, 2^164443510000 is an apocalyptic number.

164443510000 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 164443510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252627742620).

164443510000 is an abundant number, since it is smaller than the sum of its proper divisors (340811975240).

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

164443510000 is a wasteful number, since it uses less digits than its factorization.

164443510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30562 (or 30534 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 164443510000 its reverse (15344461), we get a palindrome (164458854461).

The spelling of 164443510000 in words is "one hundred sixty-four billion, four hundred forty-three million, five hundred ten thousand".