164797107387264 has 288 divisors, whose sum is σ = 527849158418400. Its totient is φ = 49306380963840.

The previous prime is 164797107387233. The next prime is 164797107387293. The reversal of 164797107387264 is 462783701797461.

164797107387264 is a `hidden beast` number, since 1 + 6 + 479 + 7 + 1 + 0 + 73 + 87 + 2 + 6 + 4 = 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 junction number, because it is equal to n+sod(n) for n = 164797107387192 and 164797107387201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3529332 + ... + 18494604.

Almost surely, 2^{164797107387264} 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 164797107387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263924579209200).

164797107387264 is an abundant number, since it is smaller than the sum of its proper divisors (363052051031136).

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

164797107387264 is a wasteful number, since it uses less digits than its factorization.

164797107387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14965394 (or 14965368 counting only the distinct ones).

The product of its (nonzero) digits is 597445632, while the sum is 72.

The spelling of 164797107387264 in words is "one hundred sixty-four trillion, seven hundred ninety-seven billion, one hundred seven million, three hundred eighty-seven thousand, two hundred sixty-four".