1145168635104 has 144 divisors (see below), whose sum is σ = 3636971078832. Its totient is φ = 352359548928.

The previous prime is 1145168635081. The next prime is 1145168635291. The reversal of 1145168635104 is 4015368615411.

1145168635104 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 1 + 6 + 8 + 635 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1145168635104² (a number of 25 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 1145168635104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5563129 + ... + 5765304.

It is an arithmetic number, because the mean of its divisors is an integer number (25256743603).

Almost surely, 2^{1145168635104} is an apocalyptic number.

It is an amenable number.

1145168635104 is an abundant number, since it is smaller than the sum of its proper divisors (2491802443728).

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

1145168635104 is a wasteful number, since it uses less digits than its factorization.

1145168635104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328471 (or 11328451 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1145168635104 in words is "one trillion, one hundred forty-five billion, one hundred sixty-eight million, six hundred thirty-five thousand, one hundred four".