4101148312848 has 120 divisors (see below), whose sum is σ = 11617364566080. Its totient is φ = 1350397359360.

The previous prime is 4101148312823. The next prime is 4101148312861. The reversal of 4101148312848 is 8482138411014.

4101148312848 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 1 + 483 + 128 + 48 = 666.

It is a super-2 number, since 2×4101148312848² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111362278 + ... + 111399098.

It is an arithmetic number, because the mean of its divisors is an integer number (96811371384).

Almost surely, 2^{4101148312848} is an apocalyptic number.

4101148312848 is a gapful number since it is divisible by the number (48) 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 4101148312848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808682283040).

4101148312848 is an abundant number, since it is smaller than the sum of its proper divisors (7516216253232).

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

4101148312848 is a wasteful number, since it uses less digits than its factorization.

4101148312848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46237 (or 46228 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 4101148312848 in words is "four trillion, one hundred one billion, one hundred forty-eight million, three hundred twelve thousand, eight hundred forty-eight".