45223541520 has 320 divisors, whose sum is σ = 147590553600. Its totient is φ = 11441295360.

The previous prime is 45223541509. The next prime is 45223541639. The reversal of 45223541520 is 2514532254.

It is a happy number.

It is a super-3 number, since 3×45223541520³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107931871 + ... + 107932289.

It is an arithmetic number, because the mean of its divisors is an integer number (461220480).

Almost surely, 2^45223541520 is an apocalyptic number.

45223541520 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 45223541520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73795276800).

45223541520 is an abundant number, since it is smaller than the sum of its proper divisors (102367012080).

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

45223541520 is a wasteful number, since it uses less digits than its factorization.

45223541520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 45223541520 in words is "forty-five billion, two hundred twenty-three million, five hundred forty-one thousand, five hundred twenty".