2148950224512 has 1024 divisors, whose sum is σ = 8340680678400. Its totient is φ = 528548364288.

The previous prime is 2148950224457. The next prime is 2148950224513. The reversal of 2148950224512 is 2154220598412.

2148950224512 is a `hidden beast` number, since 2 + 1 + 4 + 89 + 50 + 2 + 2 + 4 + 512 = 666.

It is not an unprimeable number, because it can be changed into a prime (2148950224513) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 604145038 + ... + 604148594.

It is an arithmetic number, because the mean of its divisors is an integer number (8145195975).

Almost surely, 2^{2148950224512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148950224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170340339200).

2148950224512 is an abundant number, since it is smaller than the sum of its proper divisors (6191730453888).

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

2148950224512 is a wasteful number, since it uses less digits than its factorization.

2148950224512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2148950224512 in words is "two trillion, one hundred forty-eight billion, nine hundred fifty million, two hundred twenty-four thousand, five hundred twelve".