11431626416451 has 24 divisors (see below), whose sum is σ = 16523274977664. Its totient is φ = 7616043325440.

The previous prime is 11431626416423. The next prime is 11431626416473. The reversal of 11431626416451 is 15461462613411.

11431626416451 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 626 + 4 + 16 + 4 + 5 + 1 = 666.

It is not a de Polignac number, because 11431626416451 - 2¹⁹ = 11431625892163 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11431626416397 and 11431626416406.

It is not an unprimeable number, because it can be changed into a prime (11431626416251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85213710 + ... + 85347756.

It is an arithmetic number, because the mean of its divisors is an integer number (688469790736).

Almost surely, 2^{11431626416451} is an apocalyptic number.

11431626416451 is a deficient number, since it is larger than the sum of its proper divisors (5091648561213).

11431626416451 is a wasteful number, since it uses less digits than its factorization.

11431626416451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140251 (or 140248 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 11431626416451 in words is "eleven trillion, four hundred thirty-one billion, six hundred twenty-six million, four hundred sixteen thousand, four hundred fifty-one".