107163648129312 has 144 divisors (see below), whose sum is σ = 304936185972600. Its totient is φ = 35699003375616.

The previous prime is 107163648129289. The next prime is 107163648129341. The reversal of 107163648129312 is 213921846361701.

107163648129312 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 63 + 6 + 481 + 2 + 93 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102778962896016 + 4384685233296 = 10137996^2 + 2093964^2 .

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

It is a super-2 number, since 2×107163648129312² (a number of 29 digits) contains 22 as substring.

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, 3701793814 + ... + 3701822762.

Almost surely, 2^{107163648129312} is an apocalyptic number.

107163648129312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107163648129312 is an abundant number, since it is smaller than the sum of its proper divisors (197772537843288).

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

107163648129312 is a wasteful number, since it uses less digits than its factorization.

107163648129312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36515 (or 36504 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 107163648129312 in words is "one hundred seven trillion, one hundred sixty-three billion, six hundred forty-eight million, one hundred twenty-nine thousand, three hundred twelve".