10468711786401 has 16 divisors (see below), whose sum is σ = 16919130160320. Its totient is φ = 6344673809760.

The previous prime is 10468711786387. The next prime is 10468711786439.

10468711786401 is a `hidden beast` number, since 1 + 0 + 4 + 68 + 7 + 1 + 178 + 6 + 401 = 666.

10468711786401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10468711786401 - 2¹⁷ = 10468711655329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10468711786201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17624093620 + ... + 17624094213.

It is an arithmetic number, because the mean of its divisors is an integer number (1057445635020).

Almost surely, 2^{10468711786401} is an apocalyptic number.

10468711786401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10468711786401 is a deficient number, since it is larger than the sum of its proper divisors (6450418373919).

10468711786401 is a wasteful number, since it uses less digits than its factorization.

10468711786401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35248187853 (or 35248187847 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 10468711786401 in words is "ten trillion, four hundred sixty-eight billion, seven hundred eleven million, seven hundred eighty-six thousand, four hundred one".