45590854320 has 960 divisors, whose sum is σ = 189227888640. Its totient is φ = 10036224000.

The previous prime is 45590854291. The next prime is 45590854327. The reversal of 45590854320 is 2345809554.

45590854320 is a `hidden beast` number, since 4 + 5 + 590 + 8 + 54 + 3 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45590854327) 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 191 ways as a sum of consecutive naturals, for example, 137736555 + ... + 137736885.

It is an arithmetic number, because the mean of its divisors is an integer number (197112384).

Almost surely, 2^45590854320 is an apocalyptic number.

45590854320 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 45590854320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94613944320).

45590854320 is an abundant number, since it is smaller than the sum of its proper divisors (143637034320).

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

45590854320 is a wasteful number, since it uses less digits than its factorization.

45590854320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 45590854320 in words is "forty-five billion, five hundred ninety million, eight hundred fifty-four thousand, three hundred twenty".