164005863450 has 192 divisors, whose sum is σ = 502992806400. Its totient is φ = 34768915200.

The previous prime is 164005863443. The next prime is 164005863473. The reversal of 164005863450 is 54368500461.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206341 + ... + 608759.

It is an arithmetic number, because the mean of its divisors is an integer number (2619754200).

Almost surely, 2^164005863450 is an apocalyptic number.

164005863450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164005863450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251496403200).

164005863450 is an abundant number, since it is smaller than the sum of its proper divisors (338986942950).

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

164005863450 is a wasteful number, since it uses less digits than its factorization.

164005863450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402477 (or 402472 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 164005863450 in words is "one hundred sixty-four billion, five million, eight hundred sixty-three thousand, four hundred fifty".