164351000000 has 392 divisors, whose sum is σ = 453384196608. Its totient is φ = 58608000000.

The previous prime is 164350999993. The next prime is 164351000017. The reversal of 164351000000 is 153461.

It is a super-2 number, since 2×164351000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 736999889 + ... + 737000111.

Almost surely, 2^164351000000 is an apocalyptic number.

164351000000 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 164351000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226692098304).

164351000000 is an abundant number, since it is smaller than the sum of its proper divisors (289033196608).

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

164351000000 is an frugal number, since it uses more digits than its factorization.

164351000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 164351000000 its reverse (153461), we get a palindrome (164351153461).

The spelling of 164351000000 in words is "one hundred sixty-four billion, three hundred fifty-one million", and thus it is an aban number.