12408711140448 has 144 divisors (see below), whose sum is σ = 40509157118976. Its totient is φ = 3529447499520.

The previous prime is 12408711140411. The next prime is 12408711140473. The reversal of 12408711140448 is 84404111780421.

12408711140448 is a `hidden beast` number, since 1 + 24 + 0 + 8 + 71 + 114 + 0 + 448 = 666.

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

It is a super-2 number, since 2×12408711140448² (a number of 27 digits) contains 22 as substring.

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, 13351138 + ... + 14250273.

It is an arithmetic number, because the mean of its divisors is an integer number (281313591104).

Almost surely, 2^{12408711140448} is an apocalyptic number.

12408711140448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12408711140448 is an abundant number, since it is smaller than the sum of its proper divisors (28100445978528).

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

12408711140448 is a wasteful number, since it uses less digits than its factorization.

12408711140448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27601657 (or 27601646 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 12408711140448 in words is "twelve trillion, four hundred eight billion, seven hundred eleven million, one hundred forty thousand, four hundred forty-eight".