164942518752 has 360 divisors, whose sum is σ = 535025560608. Its totient is φ = 49811604480.

The previous prime is 164942518729. The next prime is 164942518799. The reversal of 164942518752 is 257815249461.

164942518752 is a `hidden beast` number, since 1 + 6 + 494 + 25 + 1 + 87 + 52 = 666.

164942518752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 115102228 + ... + 115103660.

Almost surely, 2^164942518752 is an apocalyptic number.

164942518752 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 164942518752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267512780304).

164942518752 is an abundant number, since it is smaller than the sum of its proper divisors (370083041856).

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

164942518752 is a wasteful number, since it uses less digits than its factorization.

164942518752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1816 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 164942518752 in words is "one hundred sixty-four billion, nine hundred forty-two million, five hundred eighteen thousand, seven hundred fifty-two".