1021645337248 has 96 divisors (see below), whose sum is σ = 2150632814400. Its totient is φ = 476048584704.

The previous prime is 1021645337203. The next prime is 1021645337249. The reversal of 1021645337248 is 8427335461201.

It is a junction number, because it is equal to n+sod(n) for n = 1021645337198 and 1021645337207.

It is not an unprimeable number, because it can be changed into a prime (1021645337249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 197264323 + ... + 197269501.

It is an arithmetic number, because the mean of its divisors is an integer number (22402425150).

Almost surely, 2^{1021645337248} 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 1021645337248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075316407200).

1021645337248 is an abundant number, since it is smaller than the sum of its proper divisors (1128987477152).

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

1021645337248 is a wasteful number, since it uses less digits than its factorization.

1021645337248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8702 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 1021645337248 in words is "one trillion, twenty-one billion, six hundred forty-five million, three hundred thirty-seven thousand, two hundred forty-eight".