164413019000 has 64 divisors (see below), whose sum is σ = 384825504960. Its totient is φ = 65748278400.

The previous prime is 164413018999. The next prime is 164413019081. The reversal of 164413019000 is 910314461.

It is a super-3 number, since 3×164413019000³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4308002 + ... + 4345998.

It is an arithmetic number, because the mean of its divisors is an integer number (6012898515).

Almost surely, 2^164413019000 is an apocalyptic number.

164413019000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164413019000 is an abundant number, since it is smaller than the sum of its proper divisors (220412485960).

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

164413019000 is a wasteful number, since it uses less digits than its factorization.

164413019000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42345 (or 42331 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 164413019000 in words is "one hundred sixty-four billion, four hundred thirteen million, nineteen thousand".