10618006721 has 24 divisors (see below), whose sum is σ = 12845125440. Its totient is φ = 8596583136.

The previous prime is 10618006709. The next prime is 10618006733. The reversal of 10618006721 is 12760081601.

It is a happy number.

10618006721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10618006709) and next prime (10618006733).

It is a de Polignac number, because none of the positive numbers 2^k-10618006721 is a prime.

It is a super-2 number, since 2×10618006721² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10618006121) 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 23 ways as a sum of consecutive naturals, for example, 870815 + ... + 882923.

It is an arithmetic number, because the mean of its divisors is an integer number (535213560).

Almost surely, 2^10618006721 is an apocalyptic number.

It is an amenable number.

10618006721 is a deficient number, since it is larger than the sum of its proper divisors (2227118719).

10618006721 is a wasteful number, since it uses less digits than its factorization.

10618006721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 10618006721 in words is "ten billion, six hundred eighteen million, six thousand, seven hundred twenty-one".