10436781366801 has 24 divisors (see below), whose sum is σ = 15567618193920. Its totient is φ = 6730826025600.

The previous prime is 10436781366779. The next prime is 10436781366829. The reversal of 10436781366801 is 10866318763401.

10436781366801 is a `hidden beast` number, since 1 + 0 + 436 + 78 + 1 + 3 + 66 + 80 + 1 = 666.

It is not a de Polignac number, because 10436781366801 - 2¹¹ = 10436781364753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10436781346801) 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 23 ways as a sum of consecutive naturals, for example, 6441085 + ... + 7896906.

It is an arithmetic number, because the mean of its divisors is an integer number (648650758080).

Almost surely, 2^{10436781366801} is an apocalyptic number.

It is an amenable number.

10436781366801 is a deficient number, since it is larger than the sum of its proper divisors (5130836827119).

10436781366801 is a wasteful number, since it uses less digits than its factorization.

10436781366801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14340637 (or 14340634 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 10436781366801 in words is "ten trillion, four hundred thirty-six billion, seven hundred eighty-one million, three hundred sixty-six thousand, eight hundred one".