27154245227648 has 384 divisors, whose sum is σ = 71872440091200. Its totient is φ = 10091631943680.

The previous prime is 27154245227647. The next prime is 27154245227657. The reversal of 27154245227648 is 84672254245172.

It is a happy number.

It is a super-2 number, since 2×27154245227648² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27154245227647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165981986 + ... + 166145502.

Almost surely, 2^{27154245227648} is an apocalyptic number.

27154245227648 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 27154245227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35936220045600).

27154245227648 is an abundant number, since it is smaller than the sum of its proper divisors (44718194863552).

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

27154245227648 is a wasteful number, since it uses less digits than its factorization.

27154245227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163668 (or 163649 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 59.

The spelling of 27154245227648 in words is "twenty-seven trillion, one hundred fifty-four billion, two hundred forty-five million, two hundred twenty-seven thousand, six hundred forty-eight".