45248145965568 has 1280 divisors, whose sum is σ = 166581404774400. Its totient is φ = 11879020707840.

The previous prime is 45248145965563. The next prime is 45248145965587. The reversal of 45248145965568 is 86556954184254.

45248145965568 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 8 + 1 + 4 + 59 + 6 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 45248145965496 and 45248145965505.

It is not an unprimeable number, because it can be changed into a prime (45248145965563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70370366655 + ... + 70370367297.

It is an arithmetic number, because the mean of its divisors is an integer number (130141722480).

Almost surely, 2^{45248145965568} is an apocalyptic number.

45248145965568 is a gapful number since it is divisible by the number (48) 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 45248145965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83290702387200).

45248145965568 is an abundant number, since it is smaller than the sum of its proper divisors (121333258808832).

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

45248145965568 is an equidigital number, since it uses as much as digits as its factorization.

45248145965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 999 counting only the distinct ones).

The product of its digits is 1658880000, while the sum is 72.

The spelling of 45248145965568 in words is "forty-five trillion, two hundred forty-eight billion, one hundred forty-five million, nine hundred sixty-five thousand, five hundred sixty-eight".