1156678684128 has 288 divisors, whose sum is σ = 3714477732000. Its totient is φ = 349917511680.

The previous prime is 1156678684103. The next prime is 1156678684153. The reversal of 1156678684128 is 8214868766511.

It is a happy number.

1156678684128 is a `hidden beast` number, since 1 + 1 + 566 + 7 + 8 + 6 + 8 + 41 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1156678684103) and next prime (1156678684153).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64076448 + ... + 64094496.

It is an arithmetic number, because the mean of its divisors is an integer number (12897492125).

Almost surely, 2^{1156678684128} is an apocalyptic number.

1156678684128 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 1156678684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857238866000).

1156678684128 is an abundant number, since it is smaller than the sum of its proper divisors (2557799047872).

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

1156678684128 is a wasteful number, since it uses less digits than its factorization.

1156678684128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18703 (or 18678 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 1156678684128 in words is "one trillion, one hundred fifty-six billion, six hundred seventy-eight million, six hundred eighty-four thousand, one hundred twenty-eight".