6981094733256 has 576 divisors, whose sum is σ = 23407880670720. Its totient is φ = 1834845143040.

The previous prime is 6981094733213. The next prime is 6981094733257. The reversal of 6981094733256 is 6523374901896.

6981094733256 is a `hidden beast` number, since 6 + 9 + 8 + 109 + 473 + 3 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6981094733193 and 6981094733202.

It is not an unprimeable number, because it can be changed into a prime (6981094733257) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10373097336 + ... + 10373098008.

It is an arithmetic number, because the mean of its divisors is an integer number (40638681720).

It is a 1-persistent number, because it is pandigital, but 2⋅6981094733256 = 13962189466512 is not.

Almost surely, 2^{6981094733256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6981094733256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11703940335360).

6981094733256 is an abundant number, since it is smaller than the sum of its proper divisors (16426785937464).

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

6981094733256 is a wasteful number, since it uses less digits than its factorization.

6981094733256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 6981094733256 in words is "six trillion, nine hundred eighty-one billion, ninety-four million, seven hundred thirty-three thousand, two hundred fifty-six".