164046536500 has 216 divisors, whose sum is σ = 458112976776. Its totient is φ = 51130464000.

The previous prime is 164046536497. The next prime is 164046536501. The reversal of 164046536500 is 5635640461.

It can be written as a sum of positive squares in 4 ways, for example, as 12362771344 + 151683765156 = 111188^2 + 389466^2 .

It is a super-2 number, since 2×164046536500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164046536501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2936832 + ... + 2992168.

It is an arithmetic number, because the mean of its divisors is an integer number (2120893411).

Almost surely, 2^164046536500 is an apocalyptic number.

164046536500 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 164046536500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229056488388).

164046536500 is an abundant number, since it is smaller than the sum of its proper divisors (294066440276).

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

164046536500 is a wasteful number, since it uses less digits than its factorization.

164046536500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55392 (or 55362 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 164046536500 in words is "one hundred sixty-four billion, forty-six million, five hundred thirty-six thousand, five hundred".