164599879940496 has 4480 divisors, whose sum is σ = 694054297681920. Its totient is φ = 36419449651200.

The previous prime is 164599879940443. The next prime is 164599879940513. The reversal of 164599879940496 is 694049978995461.

164599879940496 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 9 + 9 + 8 + 79 + 9 + 40 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1696905978720 + ... + 1696905978816.

It is an arithmetic number, because the mean of its divisors is an integer number (154922834304).

Almost surely, 2^{164599879940496} is an apocalyptic number.

164599879940496 is a gapful number since it is divisible by the number (16) 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 164599879940496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347027148840960).

164599879940496 is an abundant number, since it is smaller than the sum of its proper divisors (529454417741424).

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

164599879940496 is a wasteful number, since it uses less digits than its factorization.

164599879940496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 38093690880, while the sum is 90.

The spelling of 164599879940496 in words is "one hundred sixty-four trillion, five hundred ninety-nine billion, eight hundred seventy-nine million, nine hundred forty thousand, four hundred ninety-six".