42663137384448 has 2880 divisors, whose sum is σ = 164317241088000. Its totient is φ = 11008606371840.

The previous prime is 42663137384407. The next prime is 42663137384471. The reversal of 42663137384448 is 84448373136624.

42663137384448 is a `hidden beast` number, since 4 + 26 + 6 + 3 + 137 + 38 + 4 + 448 = 666.

42663137384448 is digitally balanced in base 5, 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 636763244511 + ... + 636763244577.

It is an arithmetic number, because the mean of its divisors is an integer number (57054597600).

Almost surely, 2^{42663137384448} is an apocalyptic number.

42663137384448 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 42663137384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82158620544000).

42663137384448 is an abundant number, since it is smaller than the sum of its proper divisors (121654103703552).

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

42663137384448 is an equidigital number, since it uses as much as digits as its factorization.

42663137384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 129 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 42663137384448 in words is "forty-two trillion, six hundred sixty-three billion, one hundred thirty-seven million, three hundred eighty-four thousand, four hundred forty-eight".