45567648144096 has 96 divisors (see below), whose sum is σ = 128842917654528. Its totient is φ = 14017910699520.

The previous prime is 45567648144071. The next prime is 45567648144181. The reversal of 45567648144096 is 69044184676554.

45567648144096 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 (96).

It is a self number, because there is not a number n which added to its sum of digits gives 45567648144096.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2250105 + ... + 9808071.

It is an arithmetic number, because the mean of its divisors is an integer number (1342113725568).

Almost surely, 2^{45567648144096} is an apocalyptic number.

It is an amenable number.

45567648144096 is an abundant number, since it is smaller than the sum of its proper divisors (83275269510432).

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

45567648144096 is a wasteful number, since it uses less digits than its factorization.

45567648144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7562824 (or 7562816 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 69.

The spelling of 45567648144096 in words is "forty-five trillion, five hundred sixty-seven billion, six hundred forty-eight million, one hundred forty-four thousand, ninety-six".