164648420160000 has 1200 divisors, whose sum is σ = 658178816359680. Its totient is φ = 36419604480000.

The previous prime is 164648420159987. The next prime is 164648420160023. The reversal of 164648420160000 is 61024846461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×164648420160000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1458183546 + ... + 1458296454.

Almost surely, 2^{164648420160000} is an apocalyptic number.

164648420160000 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 164648420160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329089408179840).

164648420160000 is an abundant number, since it is smaller than the sum of its proper divisors (493530396199680).

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

164648420160000 is an equidigital number, since it uses as much as digits as its factorization.

164648420160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112995 (or 112957 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 164648420160000 in words is "one hundred sixty-four trillion, six hundred forty-eight billion, four hundred twenty million, one hundred sixty thousand".