13214473264512 has 192 divisors, whose sum is σ = 43359991234560. Its totient is φ = 3826815713280.

The previous prime is 13214473264501. The next prime is 13214473264537. The reversal of 13214473264512 is 21546237441231.

13214473264512 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 4 + 73 + 2 + 64 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 25697664 + ... + 26206847.

It is an arithmetic number, because the mean of its divisors is an integer number (225833287680).

Almost surely, 2^{13214473264512} is an apocalyptic number.

13214473264512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13214473264512 is an abundant number, since it is smaller than the sum of its proper divisors (30145517970048).

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

13214473264512 is a wasteful number, since it uses less digits than its factorization.

13214473264512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51904561 (or 51904546 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 13214473264512 in words is "thirteen trillion, two hundred fourteen billion, four hundred seventy-three million, two hundred sixty-four thousand, five hundred twelve".