2364221062368 has 288 divisors, whose sum is σ = 7379307647712. Its totient is φ = 712057651200.

The previous prime is 2364221062331. The next prime is 2364221062403. The reversal of 2364221062368 is 8632601224632.

2364221062368 is a `hidden beast` number, since 2 + 3 + 6 + 4 + 2 + 2 + 10 + 623 + 6 + 8 = 666.

2364221062368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×2364221062368³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

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, 1094039208 + ... + 1094041368.

It is an arithmetic number, because the mean of its divisors is an integer number (25622595999).

Almost surely, 2^{2364221062368} 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 2364221062368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689653823856).

2364221062368 is an abundant number, since it is smaller than the sum of its proper divisors (5015086585344).

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

2364221062368 is a wasteful number, since it uses less digits than its factorization.

2364221062368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 2364221062368 in words is "two trillion, three hundred sixty-four billion, two hundred twenty-one million, sixty-two thousand, three hundred sixty-eight".