278847748872 has 192 divisors, whose sum is σ = 945232329600. Its totient is φ = 72145797120.

The previous prime is 278847748853. The next prime is 278847748873.

278847748872 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 4 + 77 + 488 + 72 = 666.

278847748872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 278847748872.

It is not an unprimeable number, because it can be changed into a prime (278847748873) 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 47 ways as a sum of consecutive naturals, for example, 1326954 + ... + 1522662.

It is an arithmetic number, because the mean of its divisors is an integer number (4923085050).

Almost surely, 2^278847748872 is an apocalyptic number.

278847748872 is a gapful number since it is divisible by the number (22) 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 278847748872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472616164800).

278847748872 is an abundant number, since it is smaller than the sum of its proper divisors (666384580728).

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

278847748872 is a wasteful number, since it uses less digits than its factorization.

278847748872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195996 (or 195989 counting only the distinct ones).

The product of its digits is 629407744, while the sum is 72.

The spelling of 278847748872 in words is "two hundred seventy-eight billion, eight hundred forty-seven million, seven hundred forty-eight thousand, eight hundred seventy-two".