2148279496896 has 224 divisors, whose sum is σ = 6231179368960. Its totient is φ = 649194061824.

The previous prime is 2148279496849. The next prime is 2148279496921. The reversal of 2148279496896 is 6986949728412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56338125 + ... + 56376243.

It is an arithmetic number, because the mean of its divisors is an integer number (27817765040).

Almost surely, 2^{2148279496896} is an apocalyptic number.

2148279496896 is a gapful number since it is divisible by the number (26) 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 2148279496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115589684480).

2148279496896 is an abundant number, since it is smaller than the sum of its proper divisors (4082899872064).

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

2148279496896 is a wasteful number, since it uses less digits than its factorization.

2148279496896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38551 (or 38541 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 75.

The spelling of 2148279496896 in words is "two trillion, one hundred forty-eight billion, two hundred seventy-nine million, four hundred ninety-six thousand, eight hundred ninety-six".