282148046838 has 192 divisors, whose sum is σ = 766263214080. Its totient is φ = 73214539200.

The previous prime is 282148046833. The next prime is 282148046849. The reversal of 282148046838 is 838640841282.

282148046838 is a `hidden beast` number, since 2 + 8 + 2 + 148 + 0 + 468 + 38 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282148046833) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7923133 + ... + 7958663.

It is an arithmetic number, because the mean of its divisors is an integer number (3990954240).

Almost surely, 2^282148046838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282148046838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383131607040).

282148046838 is an abundant number, since it is smaller than the sum of its proper divisors (484115167242).

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

282148046838 is a wasteful number, since it uses less digits than its factorization.

282148046838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35703 (or 35700 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 282148046838 in words is "two hundred eighty-two billion, one hundred forty-eight million, forty-six thousand, eight hundred thirty-eight".