164481710400 has 1260 divisors, whose sum is σ = 716852109600. Its totient is φ = 36874414080.

The previous prime is 164481710389. The next prime is 164481710401. The reversal of 164481710400 is 4017184461.

164481710400 is a `hidden beast` number, since 1 + 6 + 448 + 171 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×164481710400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164481710401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 374673381 + ... + 374673819.

Almost surely, 2^164481710400 is an apocalyptic number.

164481710400 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 164481710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358426054800).

164481710400 is an abundant number, since it is smaller than the sum of its proper divisors (552370399200).

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

164481710400 is a wasteful number, since it uses less digits than its factorization.

164481710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 164481710400 its reverse (4017184461), we get a palindrome (168498894861).

The spelling of 164481710400 in words is "one hundred sixty-four billion, four hundred eighty-one million, seven hundred ten thousand, four hundred".