12733477911648 has 480 divisors, whose sum is σ = 41081114178720. Its totient is φ = 3845648793600.

The previous prime is 12733477911589. The next prime is 12733477911689. The reversal of 12733477911648 is 84611977433721.

12733477911648 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 3 + 477 + 9 + 116 + 48 = 666.

It is a super-2 number, since 2×12733477911648² (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 79 ways as a sum of consecutive naturals, for example, 392980248 + ... + 393012648.

It is an arithmetic number, because the mean of its divisors is an integer number (85585654539).

Almost surely, 2^{12733477911648} is an apocalyptic number.

12733477911648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12733477911648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20540557089360).

12733477911648 is an abundant number, since it is smaller than the sum of its proper divisors (28347636267072).

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

12733477911648 is a wasteful number, since it uses less digits than its factorization.

12733477911648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32652 (or 32635 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 12733477911648 in words is "twelve trillion, seven hundred thirty-three billion, four hundred seventy-seven million, nine hundred eleven thousand, six hundred forty-eight".