10692126342144 has 198 divisors, whose sum is σ = 33430837701456. Its totient is φ = 3289884549120.

The previous prime is 10692126342143. The next prime is 10692126342169. The reversal of 10692126342144 is 44124362129601.

10692126342144 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 2 + 1 + 2 + 634 + 2 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×10692126342144² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10692126342144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10692126342143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1874952 + ... + 4989959.

Almost surely, 2^{10692126342144} is an apocalyptic number.

It is an amenable number.

10692126342144 is an abundant number, since it is smaller than the sum of its proper divisors (22738711359312).

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

10692126342144 is a wasteful number, since it uses less digits than its factorization.

10692126342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864963 (or 6864929 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10692126342144 in words is "ten trillion, six hundred ninety-two billion, one hundred twenty-six million, three hundred forty-two thousand, one hundred forty-four".