164505667950 has 288 divisors, whose sum is σ = 517193564160. Its totient is φ = 37124179200.

The previous prime is 164505667913. The next prime is 164505667967. The reversal of 164505667950 is 59766505461.

164505667950 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 0 + 566 + 79 + 5 + 0 = 666.

164505667950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164505667950² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3421779 + ... + 3469521.

Almost surely, 2^164505667950 is an apocalyptic number.

164505667950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164505667950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258596782080).

164505667950 is an abundant number, since it is smaller than the sum of its proper divisors (352687896210).

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

164505667950 is a wasteful number, since it uses less digits than its factorization.

164505667950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47824 (or 47816 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 164505667950 in words is "one hundred sixty-four billion, five hundred five million, six hundred sixty-seven thousand, nine hundred fifty".