360506167099566 has 256 divisors, whose sum is σ = 813145260533760. Its totient is φ = 106014811668480.

The previous prime is 360506167099553. The next prime is 360506167099601. The reversal of 360506167099566 is 665990761605063.

It is a super-3 number, since 3×360506167099566³ (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 360506167099566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16603229926 + ... + 16603251638.

It is an arithmetic number, because the mean of its divisors is an integer number (3176348673960).

Almost surely, 2^{360506167099566} is an apocalyptic number.

360506167099566 is an abundant number, since it is smaller than the sum of its proper divisors (452639093434194).

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

360506167099566 is a wasteful number, since it uses less digits than its factorization.

360506167099566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22731.

The product of its (nonzero) digits is 330674400, while the sum is 69.

The spelling of 360506167099566 in words is "three hundred sixty trillion, five hundred six billion, one hundred sixty-seven million, ninety-nine thousand, five hundred sixty-six".