1038634109956 has 27 divisors (see below), whose sum is σ = 1843827302037. Its totient is φ = 511931390880.

The previous prime is 1038634109927. The next prime is 1038634109959. The reversal of 1038634109956 is 6599014368301.

The square root of 1038634109956 is 1019134.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 969771952900 + 68862157056 = 984770^2 + 262416^2 .

It is a super-3 number, since 3×1038634109956³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1038634109897 and 1038634109906.

It is not an unprimeable number, because it can be changed into a prime (1038634109959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144713440 + ... + 144720616.

Almost surely, 2^{1038634109956} is an apocalyptic number.

1038634109956 is the 1019134-th square number.

It is an amenable number.

1038634109956 is a deficient number, since it is larger than the sum of its proper divisors (805193192081).

1038634109956 is an frugal number, since it uses more digits than its factorization.

1038634109956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14500 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 1038634109956 in words is "one trillion, thirty-eight billion, six hundred thirty-four million, one hundred nine thousand, nine hundred fifty-six".