275133403714848 has 288 divisors, whose sum is σ = 844939455494400. Its totient is φ = 78160536470016.

The previous prime is 275133403714831. The next prime is 275133403714867. The reversal of 275133403714848 is 848417304331572.

It is a junction number, because it is equal to n+sod(n) for n = 275133403714791 and 275133403714800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9042394611 + ... + 9042425037.

It is an arithmetic number, because the mean of its divisors is an integer number (2933817553800).

Almost surely, 2^{275133403714848} is an apocalyptic number.

275133403714848 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 275133403714848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422469727747200).

275133403714848 is an abundant number, since it is smaller than the sum of its proper divisors (569806051779552).

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

275133403714848 is a wasteful number, since it uses less digits than its factorization.

275133403714848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41372 (or 41357 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 275133403714848 in words is "two hundred seventy-five trillion, one hundred thirty-three billion, four hundred three million, seven hundred fourteen thousand, eight hundred forty-eight".