45893218896 has 640 divisors, whose sum is σ = 161767424000. Its totient is φ = 12436623360.

The previous prime is 45893218873. The next prime is 45893218897. The reversal of 45893218896 is 69881239854.

45893218896 is a `hidden beast` number, since 4 + 589 + 32 + 18 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (29859840) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45893218897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445565181 + ... + 445565283.

It is an arithmetic number, because the mean of its divisors is an integer number (252761600).

Almost surely, 2^45893218896 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 45893218896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80883712000).

45893218896 is an abundant number, since it is smaller than the sum of its proper divisors (115874205104).

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

45893218896 is a wasteful number, since it uses less digits than its factorization.

45893218896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 45893218896 in words is "forty-five billion, eight hundred ninety-three million, two hundred eighteen thousand, eight hundred ninety-six".