1048266632768 has 112 divisors (see below), whose sum is σ = 2257177983984. Its totient is φ = 481069301760.

The previous prime is 1048266632767. The next prime is 1048266632771. The reversal of 1048266632768 is 8672366628401.

It can be written as a sum of positive squares in 8 ways, for example, as 34668544 + 1048231964224 = 5888^2 + 1023832^2 .

It is not an unprimeable number, because it can be changed into a prime (1048266632767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185432630 + ... + 185438282.

It is an arithmetic number, because the mean of its divisors is an integer number (20153374857).

Almost surely, 2^{1048266632768} 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 1048266632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128588991992).

1048266632768 is an abundant number, since it is smaller than the sum of its proper divisors (1208911351216).

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

1048266632768 is a wasteful number, since it uses less digits than its factorization.

1048266632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9880 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 59.

The spelling of 1048266632768 in words is "one trillion, forty-eight billion, two hundred sixty-six million, six hundred thirty-two thousand, seven hundred sixty-eight".