1038203148816 has 120 divisors (see below), whose sum is σ = 2919711351960. Its totient is φ = 344381442048.

The previous prime is 1038203148793. The next prime is 1038203148841. The reversal of 1038203148816 is 6188413028301.

1038203148816 is a `hidden beast` number, since 103 + 8 + 20 + 31 + 488 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 142159161600 + 896043987216 = 377040^2 + 946596^2 .

It is a super-2 number, since 2×1038203148816² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32253306 + ... + 32285478.

It is an arithmetic number, because the mean of its divisors is an integer number (24330927933).

Almost surely, 2^{1038203148816} is an apocalyptic number.

1038203148816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038203148816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459855675980).

1038203148816 is an abundant number, since it is smaller than the sum of its proper divisors (1881508203144).

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

1038203148816 is a wasteful number, since it uses less digits than its factorization.

1038203148816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33273 (or 33264 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1038203148816 in words is "one trillion, thirty-eight billion, two hundred three million, one hundred forty-eight thousand, eight hundred sixteen".