45454834484224 has 352 divisors, whose sum is σ = 108952383974400. Its totient is φ = 18710295183360.

The previous prime is 45454834484209. The next prime is 45454834484249. The reversal of 45454834484224 is 42248443845454.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×45454834484224² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12497890534 + ... + 12497894170.

Almost surely, 2^{45454834484224} is an apocalyptic number.

45454834484224 is a gapful number since it is divisible by the number (44) 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 45454834484224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54476191987200).

45454834484224 is an abundant number, since it is smaller than the sum of its proper divisors (63497549490176).

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

45454834484224 is a wasteful number, since it uses less digits than its factorization.

45454834484224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249 (or 6231 counting only the distinct ones).

The product of its digits is 314572800, while the sum is 61.

The spelling of 45454834484224 in words is "forty-five trillion, four hundred fifty-four billion, eight hundred thirty-four million, four hundred eighty-four thousand, two hundred twenty-four".