164455517600 has 144 divisors (see below), whose sum is σ = 439813100160. Its totient is φ = 59551027200.

The previous prime is 164455517591. The next prime is 164455517623. The reversal of 164455517600 is 6715554461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2064104 + ... + 2142296.

It is an arithmetic number, because the mean of its divisors is an integer number (3054257640).

Almost surely, 2^164455517600 is an apocalyptic number.

164455517600 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 164455517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219906550080).

164455517600 is an abundant number, since it is smaller than the sum of its proper divisors (275357582560).

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

164455517600 is a wasteful number, since it uses less digits than its factorization.

164455517600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78463 (or 78450 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 44.

The spelling of 164455517600 in words is "one hundred sixty-four billion, four hundred fifty-five million, five hundred seventeen thousand, six hundred".