164986455312 has 480 divisors, whose sum is σ = 596136130560. Its totient is φ = 42709835520.

The previous prime is 164986455301. The next prime is 164986455313. The reversal of 164986455312 is 213554689461.

164986455312 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 86 + 4 + 553 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164986455313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25104987 + ... + 25111557.

It is an arithmetic number, because the mean of its divisors is an integer number (1241950272).

Almost surely, 2^164986455312 is an apocalyptic number.

164986455312 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 164986455312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298068065280).

164986455312 is an abundant number, since it is smaller than the sum of its proper divisors (431149675248).

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

164986455312 is a wasteful number, since it uses less digits than its factorization.

164986455312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6625 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 164986455312 in words is "one hundred sixty-four billion, nine hundred eighty-six million, four hundred fifty-five thousand, three hundred twelve".