10489954761 has 96 divisors (see below), whose sum is σ = 18473423360. Its totient is φ = 5843819520.

The previous prime is 10489954691. The next prime is 10489954801. The reversal of 10489954761 is 16745998401.

10489954761 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 99 + 547 + 6 + 1 = 666.

It is not a de Polignac number, because 10489954761 - 2¹⁹ = 10489430473 is a prime.

It is a super-2 number, since 2×10489954761² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10489954698 and 10489954707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489954861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15586521 + ... + 15587193.

Almost surely, 2^10489954761 is an apocalyptic number.

10489954761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10489954761 is a deficient number, since it is larger than the sum of its proper divisors (7983468599).

10489954761 is a wasteful number, since it uses less digits than its factorization.

10489954761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10489954761 in words is "ten billion, four hundred eighty-nine million, nine hundred fifty-four thousand, seven hundred sixty-one".