10633400433601 has 16 divisors (see below), whose sum is σ = 12705962538240. Its totient is φ = 8784369153280.

The previous prime is 10633400433497. The next prime is 10633400433779.

10633400433601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10633400433601 - 2²⁵ = 10633366879169 is a prime.

It is a super-2 number, since 2×10633400433601² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10633400433001) 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, 980392921 + ... + 980403766.

It is an arithmetic number, because the mean of its divisors is an integer number (794122658640).

Almost surely, 2^{10633400433601} is an apocalyptic number.

10633400433601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10633400433601 is a deficient number, since it is larger than the sum of its proper divisors (2072562104639).

10633400433601 is a wasteful number, since it uses less digits than its factorization.

10633400433601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960796744.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 10633400433601 in words is "ten trillion, six hundred thirty-three billion, four hundred million, four hundred thirty-three thousand, six hundred one".