164285651712 has 864 divisors, whose sum is σ = 589865041920. Its totient is φ = 39594147840.

The previous prime is 164285651701. The next prime is 164285651801. The reversal of 164285651712 is 217156582461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535132263 + ... + 535132569.

Almost surely, 2^164285651712 is an apocalyptic number.

164285651712 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 164285651712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294932520960).

164285651712 is an abundant number, since it is smaller than the sum of its proper divisors (425579390208).

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

164285651712 is a wasteful number, since it uses less digits than its factorization.

164285651712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 382 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 164285651712 in words is "one hundred sixty-four billion, two hundred eighty-five million, six hundred fifty-one thousand, seven hundred twelve".