4364856112032 has 288 divisors, whose sum is σ = 13523998033728. Its totient is φ = 1327355486208.

The previous prime is 4364856112021. The next prime is 4364856112037. The reversal of 4364856112032 is 2302116584634.

4364856112032 is a `hidden beast` number, since 4 + 3 + 6 + 4 + 8 + 5 + 611 + 20 + 3 + 2 = 666.

4364856112032 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 not an unprimeable number, because it can be changed into a prime (4364856112037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173450683 + ... + 173475845.

It is an arithmetic number, because the mean of its divisors is an integer number (46958326506).

Almost surely, 2^{4364856112032} 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 4364856112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761999016864).

4364856112032 is an abundant number, since it is smaller than the sum of its proper divisors (9159141921696).

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

4364856112032 is a wasteful number, since it uses less digits than its factorization.

4364856112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25732 (or 25721 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4364856112032 in words is "four trillion, three hundred sixty-four billion, eight hundred fifty-six million, one hundred twelve thousand, thirty-two".