10333961763904 has 63 divisors (see below), whose sum is σ = 21643570470837. Its totient is φ = 4894803065088.

The previous prime is 10333961763883. The next prime is 10333961763919. The reversal of 10333961763904 is 40936716933301.

The square root of 10333961763904 is 3214648.

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., 1036828989504 + 9297132774400 = 1018248^2 + 3049120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 488615922 + ... + 488637070.

Almost surely, 2^{10333961763904} is an apocalyptic number.

10333961763904 is the 3214648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10333961763904

10333961763904 is an abundant number, since it is smaller than the sum of its proper divisors (11309608706933).

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

10333961763904 is an frugal number, since it uses more digits than its factorization.

10333961763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 6613488, while the sum is 55.

The spelling of 10333961763904 in words is "ten trillion, three hundred thirty-three billion, nine hundred sixty-one million, seven hundred sixty-three thousand, nine hundred four".