164001821649120 has 6144 divisors, whose sum is σ = 811043418931200. Its totient is φ = 30339508469760.

The previous prime is 164001821649097. The next prime is 164001821649131. The reversal of 164001821649120 is 21946128100461.

164001821649120 is a `hidden beast` number, since 1 + 6 + 400 + 1 + 8 + 216 + 4 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 486652289592 + ... + 486652289928.

It is an arithmetic number, because the mean of its divisors is an integer number (132005764800).

Almost surely, 2^{164001821649120} is an apocalyptic number.

164001821649120 is a gapful number since it is divisible by the number (10) 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 164001821649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405521709465600).

164001821649120 is an abundant number, since it is smaller than the sum of its proper divisors (647041597282080).

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

164001821649120 is a wasteful number, since it uses less digits than its factorization.

164001821649120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

Adding to 164001821649120 its reverse (21946128100461), we get a palindrome (185947949749581).

The spelling of 164001821649120 in words is "one hundred sixty-four trillion, one billion, eight hundred twenty-one million, six hundred forty-nine thousand, one hundred twenty".