10442115123616 has 36 divisors (see below), whose sum is σ = 22596715561266. Its totient is φ = 4746415963520.

The previous prime is 10442115123593. The next prime is 10442115123619. The reversal of 10442115123616 is 61632151124401.

It can be written as a sum of positive squares in only one way, i.e., 10177503648400 + 264611475216 = 3190220^2 + 514404^2 .

It is not an unprimeable number, because it can be changed into a prime (10442115123619) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1348409755 + ... + 1348417498.

Almost surely, 2^{10442115123616} is an apocalyptic number.

10442115123616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10442115123616 is an abundant number, since it is smaller than the sum of its proper divisors (12154600437650).

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

10442115123616 is a wasteful number, since it uses less digits than its factorization.

10442115123616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696827285 (or 2696827266 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 10442115123616 in words is "ten trillion, four hundred forty-two billion, one hundred fifteen million, one hundred twenty-three thousand, six hundred sixteen".