10358964841 has 9 divisors (see below), whose sum is σ = 11005998199. Its totient is φ = 9747985504.

The previous prime is 10358964827. The next prime is 10358964859. The reversal of 10358964841 is 14846985301.

It is a happy number.

The square root of 10358964841 is 101779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8064938025 + 2294026816 = 89805^2 + 47896^2 .

It is not a de Polignac number, because 10358964841 - 2⁷ = 10358964713 is a prime.

It is a super-3 number, since 3×10358964841³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10358964821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1727250 + ... + 1733236.

Almost surely, 2^10358964841 is an apocalyptic number.

10358964841 is the 101779-th square number.

10358964841 is the 50890-th centered octagonal number.

It is an amenable number.

10358964841 is a deficient number, since it is larger than the sum of its proper divisors (647033358).

10358964841 is an frugal number, since it uses more digits than its factorization.

10358964841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 10358964841 by its sum of digits (49), we get a square (507589277209 = 712453²).

The spelling of 10358964841 in words is "ten billion, three hundred fifty-eight million, nine hundred sixty-four thousand, eight hundred forty-one".