42545648448 has 168 divisors, whose sum is σ = 123750506880. Its totient is φ = 13973207040.

The previous prime is 42545648441. The next prime is 42545648449. The reversal of 42545648448 is 84484654524.

42545648448 is a `hidden beast` number, since 425 + 45 + 64 + 84 + 48 = 666.

42545648448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42545648394 and 42545648403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42545648441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38996383 + ... + 38997473.

It is an arithmetic number, because the mean of its divisors is an integer number (736610160).

Almost surely, 2^42545648448 is an apocalyptic number.

42545648448 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 42545648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61875253440).

42545648448 is an abundant number, since it is smaller than the sum of its proper divisors (81204858432).

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

42545648448 is a wasteful number, since it uses less digits than its factorization.

42545648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2032 counting only the distinct ones).

The product of its digits is 19660800, while the sum is 54.

The spelling of 42545648448 in words is "forty-two billion, five hundred forty-five million, six hundred forty-eight thousand, four hundred forty-eight".