164555945053920 has 1152 divisors, whose sum is σ = 689082370808832. Its totient is φ = 34905533644800.

The previous prime is 164555945053919. The next prime is 164555945053931. The reversal of 164555945053920 is 29350549555461.

164555945053920 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 5 + 5 + 94 + 5 + 0 + 539 + 2 + 0 = 666.

It is a super-2 number, since 2×164555945053920² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 3524337775 + ... + 3524384465.

It is an arithmetic number, because the mean of its divisors is an integer number (598161780216).

Almost surely, 2^{164555945053920} is an apocalyptic number.

164555945053920 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 164555945053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344541185404416).

164555945053920 is an abundant number, since it is smaller than the sum of its proper divisors (524526425754912).

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

164555945053920 is a wasteful number, since it uses less digits than its factorization.

164555945053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47024 (or 47013 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 63.

The spelling of 164555945053920 in words is "one hundred sixty-four trillion, five hundred fifty-five billion, nine hundred forty-five million, fifty-three thousand, nine hundred twenty".