45354224333520 has 240 divisors, whose sum is σ = 154824259434624. Its totient is φ = 11895214464000.

The previous prime is 45354224333519. The next prime is 45354224333563. The reversal of 45354224333520 is 2533342245354.

45354224333520 is a `hidden beast` number, since 4 + 5 + 3 + 54 + 2 + 2 + 43 + 33 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 648707365 + ... + 648777275.

Almost surely, 2^{45354224333520} is an apocalyptic number.

45354224333520 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 45354224333520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77412129717312).

45354224333520 is an abundant number, since it is smaller than the sum of its proper divisors (109470035101104).

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

45354224333520 is a wasteful number, since it uses less digits than its factorization.

45354224333520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84762 (or 84753 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

Adding to 45354224333520 its reverse (2533342245354), we get a palindrome (47887566578874).

The spelling of 45354224333520 in words is "forty-five trillion, three hundred fifty-four billion, two hundred twenty-four million, three hundred thirty-three thousand, five hundred twenty".