45804821327616 has 432 divisors, whose sum is σ = 140335421698080. Its totient is φ = 13168757145600.

The previous prime is 45804821327599. The next prime is 45804821327621. The reversal of 45804821327616 is 61672312840854.

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, 278161786 + ... + 278326406.

It is an arithmetic number, because the mean of its divisors is an integer number (324850513190).

Almost surely, 2^{45804821327616} 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 45804821327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70167710849040).

45804821327616 is an abundant number, since it is smaller than the sum of its proper divisors (94530600370464).

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

45804821327616 is a wasteful number, since it uses less digits than its factorization.

45804821327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164744 (or 164699 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 45804821327616 in words is "forty-five trillion, eight hundred four billion, eight hundred twenty-one million, three hundred twenty-seven thousand, six hundred sixteen".