10465111156401 has 24 divisors (see below), whose sum is σ = 17207455502016. Its totient is φ = 6066731103840.

The previous prime is 10465111156397. The next prime is 10465111156517.

10465111156401 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 5 + 1 + 1 + 1 + 1 + 5 + 640 + 1 = 666.

10465111156401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10465111156401 - 2² = 10465111156397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10465111156901) 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, 2298001930 + ... + 2298006483.

It is an arithmetic number, because the mean of its divisors is an integer number (716977312584).

Almost surely, 2^{10465111156401} is an apocalyptic number.

10465111156401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10465111156401 is a deficient number, since it is larger than the sum of its proper divisors (6742344345615).

10465111156401 is a wasteful number, since it uses less digits than its factorization.

10465111156401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596008453 (or 4596008450 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10465111156401 in words is "ten trillion, four hundred sixty-five billion, one hundred eleven million, one hundred fifty-six thousand, four hundred one".