10661687456112 has 540 divisors, whose sum is σ = 38430570473568. Its totient is φ = 2749025664000.

The previous prime is 10661687456099. The next prime is 10661687456117. The reversal of 10661687456112 is 21165478616601.

10661687456112 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 6 + 8 + 74 + 561 + 1 + 2 = 666.

It is a super-2 number, since 2×10661687456112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661687456117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 116921737 + ... + 117012887.

Almost surely, 2^{10661687456112} is an apocalyptic number.

10661687456112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661687456112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19215285236784).

10661687456112 is an abundant number, since it is smaller than the sum of its proper divisors (27768883017456).

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

10661687456112 is a wasteful number, since it uses less digits than its factorization.

10661687456112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91338 (or 91311 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10661687456112 in words is "ten trillion, six hundred sixty-one billion, six hundred eighty-seven million, four hundred fifty-six thousand, one hundred twelve".