278852648382 has 512 divisors, whose sum is σ = 847311667200. Its totient is φ = 66333168000.

The previous prime is 278852648377. The next prime is 278852648419. The reversal of 278852648382 is 283846258872.

278852648382 is a `hidden beast` number, since 2 + 78 + 8 + 5 + 2 + 6 + 483 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 296336032 + ... + 296336972.

It is an arithmetic number, because the mean of its divisors is an integer number (1654905600).

Almost surely, 2^278852648382 is an apocalyptic number.

278852648382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 278852648382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423655833600).

278852648382 is an abundant number, since it is smaller than the sum of its proper divisors (568459018818).

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

278852648382 is a wasteful number, since it uses less digits than its factorization.

278852648382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1014 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 278852648382 in words is "two hundred seventy-eight billion, eight hundred fifty-two million, six hundred forty-eight thousand, three hundred eighty-two".