164975484616704 has 1080 divisors, whose sum is σ = 526564358349120. Its totient is φ = 51567418146816.

The previous prime is 164975484616603. The next prime is 164975484616717. The reversal of 164975484616704 is 407616484579461.

164975484616704 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 7 + 548 + 4 + 6 + 1 + 6 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131036921227 + ... + 131036922485.

It is an arithmetic number, because the mean of its divisors is an integer number (487559591064).

Almost surely, 2^{164975484616704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164975484616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263282179174560).

164975484616704 is an abundant number, since it is smaller than the sum of its proper divisors (361588873732416).

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

164975484616704 is an frugal number, since it uses more digits than its factorization.

164975484616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 164975484616704 in words is "one hundred sixty-four trillion, nine hundred seventy-five billion, four hundred eighty-four million, six hundred sixteen thousand, seven hundred four".