164248379830080 has 2688 divisors, whose sum is σ = 751059279590400. Its totient is φ = 33454725857280.

The previous prime is 164248379830063. The next prime is 164248379830103. The reversal of 164248379830080 is 80038973842461.

164248379830080 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 483 + 79 + 8 + 3 + 0 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24009407460 + ... + 24009414300.

Almost surely, 2^{164248379830080} is an apocalyptic number.

164248379830080 is a gapful number since it is divisible by the number (10) 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 164248379830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375529639795200).

164248379830080 is an abundant number, since it is smaller than the sum of its proper divisors (586810899760320).

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

164248379830080 is an equidigital number, since it uses as much as digits as its factorization.

164248379830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 164248379830080 in words is "one hundred sixty-four trillion, two hundred forty-eight billion, three hundred seventy-nine million, eight hundred thirty thousand, eighty".