1038581792248 has 384 divisors, whose sum is σ = 2831933491200. Its totient is φ = 345599654400.

The previous prime is 1038581792233. The next prime is 1038581792309. The reversal of 1038581792248 is 8422971858301.

It is a junction number, because it is equal to n+sod(n) for n = 1038581792192 and 1038581792201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85046863 + ... + 85059073.

It is an arithmetic number, because the mean of its divisors is an integer number (7374826800).

Almost surely, 2^{1038581792248} 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 1038581792248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415966745600).

1038581792248 is an abundant number, since it is smaller than the sum of its proper divisors (1793351698952).

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

1038581792248 is a wasteful number, since it uses less digits than its factorization.

1038581792248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12323 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 1038581792248 in words is "one trillion, thirty-eight billion, five hundred eighty-one million, seven hundred ninety-two thousand, two hundred forty-eight".