164419465500 has 576 divisors, whose sum is σ = 550468638720. Its totient is φ = 41267520000.

The previous prime is 164419465481. The next prime is 164419465513. The reversal of 164419465500 is 5564914461.

164419465500 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 1 + 94 + 6 + 550 + 0 = 666.

It is a super-3 number, since 3×164419465500³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 918544411 + ... + 918544589.

It is an arithmetic number, because the mean of its divisors is an integer number (955674720).

Almost surely, 2^164419465500 is an apocalyptic number.

164419465500 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 164419465500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275234319360).

164419465500 is an abundant number, since it is smaller than the sum of its proper divisors (386049173220).

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

164419465500 is a wasteful number, since it uses less digits than its factorization.

164419465500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 164419465500 in words is "one hundred sixty-four billion, four hundred nineteen million, four hundred sixty-five thousand, five hundred".