27845466454872 has 192 divisors, whose sum is σ = 85330814268960. Its totient is φ = 8128677888000.

The previous prime is 27845466454859. The next prime is 27845466454907.

27845466454872 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 5 + 4 + 6 + 6 + 4 + 548 + 72 = 666.

27845466454872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27845466454872² (a number of 28 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 27845466454872.

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 47 ways as a sum of consecutive naturals, for example, 1744393 + ... + 7663800.

Almost surely, 2^{27845466454872} is an apocalyptic number.

27845466454872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27845466454872 is an abundant number, since it is smaller than the sum of its proper divisors (57485347814088).

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

27845466454872 is a wasteful number, since it uses less digits than its factorization.

27845466454872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408354 (or 9408347 counting only the distinct ones).

The product of its digits is 2890137600, while the sum is 72.

The spelling of 27845466454872 in words is "twenty-seven trillion, eight hundred forty-five billion, four hundred sixty-six million, four hundred fifty-four thousand, eight hundred seventy-two".