10451815659791 has 32 divisors (see below), whose sum is σ = 12055038492672. Its totient is φ = 8968614936160.

The previous prime is 10451815659767. The next prime is 10451815659793. The reversal of 10451815659791 is 19795651815401.

It is not a de Polignac number, because 10451815659791 - 2³⁸ = 10176937752847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10451815659793) 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 31 ways as a sum of consecutive naturals, for example, 17833766 + ... + 18410508.

It is an arithmetic number, because the mean of its divisors is an integer number (376719952896).

Almost surely, 2^{10451815659791} is an apocalyptic number.

10451815659791 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10451815659791 is a deficient number, since it is larger than the sum of its proper divisors (1603222832881).

10451815659791 is a wasteful number, since it uses less digits than its factorization.

10451815659791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577723.

The product of its (nonzero) digits is 13608000, while the sum is 62.

The spelling of 10451815659791 in words is "ten trillion, four hundred fifty-one billion, eight hundred fifteen million, six hundred fifty-nine thousand, seven hundred ninety-one".