164713388657400 has 1920 divisors, whose sum is σ = 680239204761600. Its totient is φ = 36488425881600.

The previous prime is 164713388657347. The next prime is 164713388657413. The reversal of 164713388657400 is 4756883317461.

164713388657400 is a `hidden beast` number, since 1 + 6 + 4 + 71 + 3 + 38 + 86 + 57 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18082484046 + ... + 18082493154.

It is an arithmetic number, because the mean of its divisors is an integer number (354291252480).

Almost surely, 2^{164713388657400} is an apocalyptic number.

164713388657400 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 164713388657400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340119602380800).

164713388657400 is an abundant number, since it is smaller than the sum of its proper divisors (515525816104200).

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

164713388657400 is a wasteful number, since it uses less digits than its factorization.

164713388657400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 164713388657400 in words is "one hundred sixty-four trillion, seven hundred thirteen billion, three hundred eighty-eight million, six hundred fifty-seven thousand, four hundred".