1048742016224 has 48 divisors (see below), whose sum is σ = 2363176071648. Its totient is φ = 448792952832.

The previous prime is 1048742016139. The next prime is 1048742016233. The reversal of 1048742016224 is 4226102478401.

1048742016224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3327617 + ... + 3629120.

It is an arithmetic number, because the mean of its divisors is an integer number (49232834826).

Almost surely, 2^{1048742016224} is an apocalyptic number.

1048742016224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1048742016224 is an abundant number, since it is smaller than the sum of its proper divisors (1314434055424).

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

1048742016224 is an equidigital number, since it uses as much as digits as its factorization.

1048742016224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957427 (or 6957419 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The spelling of 1048742016224 in words is "one trillion, forty-eight billion, seven hundred forty-two million, sixteen thousand, two hundred twenty-four".