368871223843584 has 2592 divisors, whose sum is σ = 1465708543936000. Its totient is φ = 90315505336320.

The previous prime is 368871223843541. The next prime is 368871223843607. The reversal of 368871223843584 is 485348322178863.

368871223843584 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 7 + 1 + 2 + 2 + 38 + 4 + 3 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229254954972 + ... + 229254956580.

Almost surely, 2^{368871223843584} 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 368871223843584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732854271968000).

368871223843584 is an abundant number, since it is smaller than the sum of its proper divisors (1096837320092416).

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

368871223843584 is a wasteful number, since it uses less digits than its factorization.

368871223843584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1880 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 72.

The spelling of 368871223843584 in words is "three hundred sixty-eight trillion, eight hundred seventy-one billion, two hundred twenty-three million, eight hundred forty-three thousand, five hundred eighty-four".