164089857792 has 216 divisors, whose sum is σ = 537904853136. Its totient is φ = 44124831744.

The previous prime is 164089857791. The next prime is 164089857793. The reversal of 164089857792 is 297758980461.

It is an interprime number because it is at equal distance from previous prime (164089857791) and next prime (164089857793).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164089857791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511498 + ... + 767990.

It is an arithmetic number, because the mean of its divisors is an integer number (2490300246).

Almost surely, 2^164089857792 is an apocalyptic number.

164089857792 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 164089857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268952426568).

164089857792 is an abundant number, since it is smaller than the sum of its proper divisors (373814995344).

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

164089857792 is a wasteful number, since it uses less digits than its factorization.

164089857792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256543 (or 256522 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 164089857792 in words is "one hundred sixty-four billion, eighty-nine million, eight hundred fifty-seven thousand, seven hundred ninety-two".