164447966638080 has 3328 divisors, whose sum is σ = 669176213667840. Its totient is φ = 38088776613888.

The previous prime is 164447966638051. The next prime is 164447966638091. The reversal of 164447966638080 is 80836669744461.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1294865878977 + ... + 1294865879103.

Almost surely, 2^{164447966638080} is an apocalyptic number.

164447966638080 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 164447966638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334588106833920).

164447966638080 is an abundant number, since it is smaller than the sum of its proper divisors (504728247029760).

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

164447966638080 is a wasteful number, since it uses less digits than its factorization.

164447966638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 164447966638080 in words is "one hundred sixty-four trillion, four hundred forty-seven billion, nine hundred sixty-six million, six hundred thirty-eight thousand, eighty".