42475251648 has 112 divisors (see below), whose sum is σ = 116113356800. Its totient is φ = 13689216000.

The previous prime is 42475251631. The next prime is 42475251649. The reversal of 42475251648 is 84615257424.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42475251597 and 42475251606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42475251649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8324298 + ... + 8329398.

It is an arithmetic number, because the mean of its divisors is an integer number (1036726400).

Almost surely, 2^42475251648 is an apocalyptic number.

42475251648 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 42475251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58056678400).

42475251648 is an abundant number, since it is smaller than the sum of its proper divisors (73638105152).

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

42475251648 is a wasteful number, since it uses less digits than its factorization.

42475251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6536 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 42475251648 in words is "forty-two billion, four hundred seventy-five million, two hundred fifty-one thousand, six hundred forty-eight".