45594664441600 has 216 divisors, whose sum is σ = 120404577707568. Its totient is φ = 17034013900800.

The previous prime is 45594664441591. The next prime is 45594664441663. The reversal of 45594664441600 is 614446649554.

It is a happy number.

45594664441600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 12653302 + ... + 15852298.

It is an arithmetic number, because the mean of its divisors is an integer number (557428600498).

Almost surely, 2^{45594664441600} is an apocalyptic number.

45594664441600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45594664441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60202288853784).

45594664441600 is an abundant number, since it is smaller than the sum of its proper divisors (74809913265968).

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

45594664441600 is a wasteful number, since it uses less digits than its factorization.

45594664441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199171 (or 3199152 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 58.

The spelling of 45594664441600 in words is "forty-five trillion, five hundred ninety-four billion, six hundred sixty-four million, four hundred forty-one thousand, six hundred".