10505646401 has 32 divisors (see below), whose sum is σ = 11227507200. Its totient is φ = 9815500800.

The previous prime is 10505646337. The next prime is 10505646413. The reversal of 10505646401 is 10464650501.

It is a cyclic number.

It is not a de Polignac number, because 10505646401 - 2⁶ = 10505646337 is a prime.

It is a super-2 number, since 2×10505646401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10505646461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29263460 + ... + 29263818.

It is an arithmetic number, because the mean of its divisors is an integer number (350859600).

Almost surely, 2^10505646401 is an apocalyptic number.

It is an amenable number.

10505646401 is a deficient number, since it is larger than the sum of its proper divisors (721860799).

10505646401 is a wasteful number, since it uses less digits than its factorization.

10505646401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689.

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 10505646401 in words is "ten billion, five hundred five million, six hundred forty-six thousand, four hundred one".