45248515468128 has 384 divisors, whose sum is σ = 164241447552000. Its totient is φ = 11825382481920.

The previous prime is 45248515468111. The next prime is 45248515468153. The reversal of 45248515468128 is 82186451584254.

45248515468128 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 8 + 5 + 1 + 546 + 81 + 2 + 8 = 666.

45248515468128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 3456633 + ... + 10121528.

It is an arithmetic number, because the mean of its divisors is an integer number (427712103000).

Almost surely, 2^{45248515468128} is an apocalyptic number.

45248515468128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45248515468128 is an abundant number, since it is smaller than the sum of its proper divisors (118992932083872).

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

45248515468128 is a wasteful number, since it uses less digits than its factorization.

45248515468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578235 (or 13578221 counting only the distinct ones).

The product of its digits is 98304000, while the sum is 63.

The spelling of 45248515468128 in words is "forty-five trillion, two hundred forty-eight billion, five hundred fifteen million, four hundred sixty-eight thousand, one hundred twenty-eight".