27144406493148 has 288 divisors, whose sum is σ = 78106918256640. Its totient is φ = 7304598645120.

The previous prime is 27144406493143. The next prime is 27144406493153. The reversal of 27144406493148 is 84139460444172.

It is an interprime number because it is at equal distance from previous prime (27144406493143) and next prime (27144406493153).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27144406493143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153263661 + ... + 153440667.

It is an arithmetic number, because the mean of its divisors is an integer number (271204577280).

Almost surely, 2^{27144406493148} is an apocalyptic number.

27144406493148 is a gapful number since it is divisible by the number (28) 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 27144406493148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39053459128320).

27144406493148 is an abundant number, since it is smaller than the sum of its proper divisors (50962511763492).

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

27144406493148 is a wasteful number, since it uses less digits than its factorization.

27144406493148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177285 (or 177276 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 27144406493148 in words is "twenty-seven trillion, one hundred forty-four billion, four hundred six million, four hundred ninety-three thousand, one hundred forty-eight".