164313643253760 has 9216 divisors, whose sum is σ = 877182682521600. Its totient is φ = 28894769971200.

The previous prime is 164313643253743. The next prime is 164313643253777. The reversal of 164313643253760 is 67352346313461.

164313643253760 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 1 + 3 + 6 + 43 + 2 + 537 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (164313643253743) and next prime (164313643253777).

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164313643253697 and 164313643253706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5300440104945 + ... + 5300440104975.

It is an arithmetic number, because the mean of its divisors is an integer number (95180412600).

Almost surely, 2^{164313643253760} is an apocalyptic number.

164313643253760 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 164313643253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438591341260800).

164313643253760 is an abundant number, since it is smaller than the sum of its proper divisors (712869039267840).

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

164313643253760 is a wasteful number, since it uses less digits than its factorization.

164313643253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 164313643253760 in words is "one hundred sixty-four trillion, three hundred thirteen billion, six hundred forty-three million, two hundred fifty-three thousand, seven hundred sixty".