278946649872 has 120 divisors (see below), whose sum is σ = 856338607488. Its totient is φ = 84062188800.

The previous prime is 278946649831. The next prime is 278946649879.

278946649872 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 4 + 66 + 498 + 72 = 666.

278946649872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×278946649872² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 278946649872.

It is not an unprimeable number, because it can be changed into a prime (278946649879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199768 + ... + 773175.

Almost surely, 2^278946649872 is an apocalyptic number.

278946649872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

278946649872 is an abundant number, since it is smaller than the sum of its proper divisors (577391957616).

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

278946649872 is a wasteful number, since it uses less digits than its factorization.

278946649872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973149 (or 973140 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

It can be divided in two parts, 27894 and 6649872, that added together give a palindrome (6677766).

The spelling of 278946649872 in words is "two hundred seventy-eight billion, nine hundred forty-six million, six hundred forty-nine thousand, eight hundred seventy-two".