164505063461440 has 224 divisors, whose sum is σ = 428810342881536. Its totient is φ = 59739848663040.

The previous prime is 164505063461429. The next prime is 164505063461461. The reversal of 164505063461440 is 44164360505461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5613917829 + ... + 5613947131.

It is an arithmetic number, because the mean of its divisors is an integer number (1914331887864).

Almost surely, 2^{164505063461440} is an apocalyptic number.

164505063461440 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 164505063461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214405171440768).

164505063461440 is an abundant number, since it is smaller than the sum of its proper divisors (264305279420096).

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

164505063461440 is a wasteful number, since it uses less digits than its factorization.

164505063461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51517 (or 51507 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 49.

The spelling of 164505063461440 in words is "one hundred sixty-four trillion, five hundred five billion, sixty-three million, four hundred sixty-one thousand, four hundred forty".