164648994048 has 972 divisors, whose sum is σ = 643608250740. Its totient is φ = 40193556480.

The previous prime is 164648994047. The next prime is 164648994061. The reversal of 164648994048 is 840499846461.

164648994048 is a `hidden beast` number, since 1 + 6 + 464 + 8 + 99 + 40 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72796356864 + 91852637184 = 269808^2 + 303072^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164648994047) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 232226718 + ... + 232227426.

Almost surely, 2^164648994048 is an apocalyptic number.

164648994048 is a gapful number since it is divisible by the number (18) 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 164648994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321804125370).

164648994048 is an abundant number, since it is smaller than the sum of its proper divisors (478959256692).

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

164648994048 is a wasteful number, since it uses less digits than its factorization.

164648994048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 164648994048 in words is "one hundred sixty-four billion, six hundred forty-eight million, nine hundred ninety-four thousand, forty-eight".