164361683304 has 1536 divisors, whose sum is σ = 650931240960. Its totient is φ = 37623398400.

The previous prime is 164361683303. The next prime is 164361683327. The reversal of 164361683304 is 403386163461.

It is a self number, because there is not a number n which added to its sum of digits gives 164361683304.

It is not an unprimeable number, because it can be changed into a prime (164361683303) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3822364707 + ... + 3822364749.

It is an arithmetic number, because the mean of its divisors is an integer number (423783360).

Almost surely, 2^164361683304 is an apocalyptic number.

164361683304 is a gapful number since it is divisible by the number (14) 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 164361683304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325465620480).

164361683304 is an abundant number, since it is smaller than the sum of its proper divisors (486569557656).

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

164361683304 is a wasteful number, since it uses less digits than its factorization.

164361683304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 164361683304 in words is "one hundred sixty-four billion, three hundred sixty-one million, six hundred eighty-three thousand, three hundred four".