164969505792 has 2112 divisors, whose sum is σ = 705674592000. Its totient is φ = 37456183296.

The previous prime is 164969505751. The next prime is 164969505793. The reversal of 164969505792 is 297505969461.

164969505792 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 6 + 9 + 50 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (164969505793) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5688603634 + ... + 5688603662.

Almost surely, 2^164969505792 is an apocalyptic number.

164969505792 is a gapful number since it is divisible by the number (12) 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 164969505792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352837296000).

164969505792 is an abundant number, since it is smaller than the sum of its proper divisors (540705086208).

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

164969505792 is a wasteful number, since it uses less digits than its factorization.

164969505792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

It can be divided in two parts, 164969 and 505792, that added together give a square (670761 = 819²).

The spelling of 164969505792 in words is "one hundred sixty-four billion, nine hundred sixty-nine million, five hundred five thousand, seven hundred ninety-two".