164040144113664 has 1872 divisors, whose sum is σ = 627267091913280. Its totient is φ = 40827239792640.

The previous prime is 164040144113621. The next prime is 164040144113669. The reversal of 164040144113664 is 466311441040461.

164040144113664 is a `hidden beast` number, since 1 + 6 + 404 + 0 + 14 + 41 + 136 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164040144113669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150357601759 + ... + 150357602849.

It is an arithmetic number, because the mean of its divisors is an integer number (335078574740).

Almost surely, 2^{164040144113664} is an apocalyptic number.

164040144113664 is a gapful number since it is divisible by the number (14) 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 164040144113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313633545956640).

164040144113664 is an abundant number, since it is smaller than the sum of its proper divisors (463226947799616).

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

164040144113664 is a wasteful number, since it uses less digits than its factorization.

164040144113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 164040144113664 in words is "one hundred sixty-four trillion, forty billion, one hundred forty-four million, one hundred thirteen thousand, six hundred sixty-four".