164683399104 has 700 divisors, whose sum is σ = 579530507688. Its totient is φ = 46230912000.

The previous prime is 164683399079. The next prime is 164683399151. The reversal of 164683399104 is 401993386461.

164683399104 is a `hidden beast` number, since 164 + 6 + 83 + 399 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1257125119 + ... + 1257125249.

Almost surely, 2^164683399104 is an apocalyptic number.

164683399104 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 164683399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289765253844).

164683399104 is an abundant number, since it is smaller than the sum of its proper divisors (414847108584).

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

164683399104 is an equidigital number, since it uses as much as digits as its factorization.

164683399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 164683399104 in words is "one hundred sixty-four billion, six hundred eighty-three million, three hundred ninety-nine thousand, one hundred four".