45521889906360 has 512 divisors, whose sum is σ = 168195916800000. Its totient is φ = 9625232332800.

The previous prime is 45521889906347. The next prime is 45521889906401. The reversal of 45521889906360 is 6360998812554.

45521889906360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45521889906291 and 45521889906300.

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 127 ways as a sum of consecutive naturals, for example, 140142135 + ... + 140466585.

It is an arithmetic number, because the mean of its divisors is an integer number (328507650000).

Almost surely, 2^{45521889906360} is an apocalyptic number.

45521889906360 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 45521889906360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84097958400000).

45521889906360 is an abundant number, since it is smaller than the sum of its proper divisors (122674026893640).

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

45521889906360 is a wasteful number, since it uses less digits than its factorization.

45521889906360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324699 (or 324695 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 66.

The spelling of 45521889906360 in words is "forty-five trillion, five hundred twenty-one billion, eight hundred eighty-nine million, nine hundred six thousand, three hundred sixty".