10005815761481 has 8 divisors (see below), whose sum is σ = 10367183424264. Its totient is φ = 9649234425600.

The previous prime is 10005815761411. The next prime is 10005815761499. The reversal of 10005815761481 is 18416751850001.

It can be written as a sum of positive squares in 4 ways, for example, as 401301978256 + 9604513783225 = 633484^2 + 3099115^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005815761481 - 2¹⁴ = 10005815745097 is a prime.

It is a super-2 number, since 2×10005815761481² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10005815761411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1196577470 + ... + 1196585831.

It is an arithmetic number, because the mean of its divisors is an integer number (1295897928033).

Almost surely, 2^{10005815761481} is an apocalyptic number.

It is an amenable number.

10005815761481 is a deficient number, since it is larger than the sum of its proper divisors (361367662783).

10005815761481 is a wasteful number, since it uses less digits than its factorization.

10005815761481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393163451.

The product of its (nonzero) digits is 268800, while the sum is 47.

The spelling of 10005815761481 in words is "ten trillion, five billion, eight hundred fifteen million, seven hundred sixty-one thousand, four hundred eighty-one".