12815945946900 has 108 divisors (see below), whose sum is σ = 41658680673792. Its totient is φ = 3417585579360.

The previous prime is 12815945946889. The next prime is 12815945946913. The reversal of 12815945946900 is 964954951821.

12815945946900 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 59 + 459 + 46 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×12815945946900² (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 35 ways as a sum of consecutive naturals, for example, 263678292 + ... + 263726891.

Almost surely, 2^{12815945946900} is an apocalyptic number.

12815945946900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12815945946900 is an abundant number, since it is smaller than the sum of its proper divisors (28842734726892).

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

12815945946900 is a wasteful number, since it uses less digits than its factorization.

12815945946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527405212 (or 527405193 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 12815945946900 in words is "twelve trillion, eight hundred fifteen billion, nine hundred forty-five million, nine hundred forty-six thousand, nine hundred".