10145541635766 has 48 divisors (see below), whose sum is σ = 22012582662720. Its totient is φ = 3377146239360.

The previous prime is 10145541635707. The next prime is 10145541635791. The reversal of 10145541635766 is 66753614554101.

10145541635766 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 5 + 4 + 1 + 63 + 576 + 6 = 666.

It is a super-2 number, since 2×10145541635766² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41058426 + ... + 41304786.

It is an arithmetic number, because the mean of its divisors is an integer number (458595472140).

Almost surely, 2^{10145541635766} is an apocalyptic number.

10145541635766 is an abundant number, since it is smaller than the sum of its proper divisors (11867041026954).

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

10145541635766 is a wasteful number, since it uses less digits than its factorization.

10145541635766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249541 (or 249538 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 10145541635766 in words is "ten trillion, one hundred forty-five billion, five hundred forty-one million, six hundred thirty-five thousand, seven hundred sixty-six".