45864559221390 has 640 divisors, whose sum is σ = 153255769970688. Its totient is φ = 9583534310400.

The previous prime is 45864559221319. The next prime is 45864559221413. The reversal of 45864559221390 is 9312295546854.

45864559221390 is a `hidden beast` number, since 4 + 5 + 8 + 6 + 4 + 5 + 592 + 2 + 1 + 39 + 0 = 666.

45864559221390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45864559221390³ (a number of 42 digits) contains 333 as substring.

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

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 319 ways as a sum of consecutive naturals, for example, 3409744165 + ... + 3409757615.

Almost surely, 2^{45864559221390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45864559221390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76627884985344).

45864559221390 is an abundant number, since it is smaller than the sum of its proper divisors (107391210749298).

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

45864559221390 is a wasteful number, since it uses less digits than its factorization.

45864559221390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 45864559221390 in words is "forty-five trillion, eight hundred sixty-four billion, five hundred fifty-nine million, two hundred twenty-one thousand, three hundred ninety".