10611631968 has 96 divisors (see below), whose sum is σ = 32695375104. Its totient is φ = 2949944832.

The previous prime is 10611631967. The next prime is 10611631997. The reversal of 10611631968 is 86913611601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10611631968² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611631967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188530 + ... + 238257.

It is an arithmetic number, because the mean of its divisors is an integer number (340576824).

Almost surely, 2^10611631968 is an apocalyptic number.

It is an amenable number.

10611631968 is an abundant number, since it is smaller than the sum of its proper divisors (22083743136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10611631968 is a wasteful number, since it uses less digits than its factorization.

10611631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426844 (or 426836 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 10611631968 in words is "ten billion, six hundred eleven million, six hundred thirty-one thousand, nine hundred sixty-eight".