164797521168672 has 288 divisors, whose sum is σ = 559455854106240. Its totient is φ = 47057940195840.

The previous prime is 164797521168629. The next prime is 164797521168773. The reversal of 164797521168672 is 276861125797461.

164797521168672 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 9 + 7 + 521 + 16 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 164797521168672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72589053 + ... + 74824899.

It is an arithmetic number, because the mean of its divisors is an integer number (1942555048980).

Almost surely, 2^{164797521168672} is an apocalyptic number.

164797521168672 is a gapful number since it is divisible by the number (12) 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 164797521168672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279727927053120).

164797521168672 is an abundant number, since it is smaller than the sum of its proper divisors (394658332937568).

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

164797521168672 is a wasteful number, since it uses less digits than its factorization.

164797521168672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237621 (or 2237600 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 164797521168672 in words is "one hundred sixty-four trillion, seven hundred ninety-seven billion, five hundred twenty-one million, one hundred sixty-eight thousand, six hundred seventy-two".