27484122148472 has 128 divisors (see below), whose sum is σ = 58011434712000. Its totient is φ = 12100867584000.

The previous prime is 27484122148453. The next prime is 27484122148481.

27484122148472 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164317748 + ... + 164484924.

Almost surely, 2^{27484122148472} is an apocalyptic number.

27484122148472 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 27484122148472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29005717356000).

27484122148472 is an abundant number, since it is smaller than the sum of its proper divisors (30527312563528).

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

27484122148472 is a wasteful number, since it uses less digits than its factorization.

27484122148472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167697 (or 167693 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 56.

The spelling of 27484122148472 in words is "twenty-seven trillion, four hundred eighty-four billion, one hundred twenty-two million, one hundred forty-eight thousand, four hundred seventy-two".