2148181028448 has 1728 divisors, whose sum is σ = 7982938478592. Its totient is φ = 500391198720.

The previous prime is 2148181028407. The next prime is 2148181028503. The reversal of 2148181028448 is 8448201818412.

It is a super-2 number, since 2×2148181028448² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2148181028448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29427137340 + ... + 29427137412.

It is an arithmetic number, because the mean of its divisors is an integer number (4619756064).

Almost surely, 2^{2148181028448} is an apocalyptic number.

2148181028448 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 2148181028448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991469239296).

2148181028448 is an abundant number, since it is smaller than the sum of its proper divisors (5834757450144).

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

2148181028448 is a wasteful number, since it uses less digits than its factorization.

2148181028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 51.

The spelling of 2148181028448 in words is "two trillion, one hundred forty-eight billion, one hundred eighty-one million, twenty-eight thousand, four hundred forty-eight".