10645633401664 has 56 divisors (see below), whose sum is σ = 21223628750016. Its totient is φ = 5297970432000.

The previous prime is 10645633401661. The next prime is 10645633401673. The reversal of 10645633401664 is 46610433654601.

It is a super-2 number, since 2×10645633401664² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645633401661) 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 7 ways as a sum of consecutive naturals, for example, 29605029 + ... + 29962459.

It is an arithmetic number, because the mean of its divisors is an integer number (378993370536).

Almost surely, 2^{10645633401664} is an apocalyptic number.

It is an amenable number.

10645633401664 is a deficient number, since it is larger than the sum of its proper divisors (10577995348352).

10645633401664 is a wasteful number, since it uses less digits than its factorization.

10645633401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359615 (or 359605 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 10645633401664 in words is "ten trillion, six hundred forty-five billion, six hundred thirty-three million, four hundred one thousand, six hundred sixty-four".