256743546720612 has 288 divisors, whose sum is σ = 714465322002432. Its totient is φ = 71526613745664.

The previous prime is 256743546720611. The next prime is 256743546720637. The reversal of 256743546720612 is 216027645347652.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (256743546720611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9832007268 + ... + 9832033380.

It is an arithmetic number, because the mean of its divisors is an integer number (2480782368064).

Almost surely, 2^{256743546720612} 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 256743546720612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357232661001216).

256743546720612 is an abundant number, since it is smaller than the sum of its proper divisors (457721775281820).

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

256743546720612 is a wasteful number, since it uses less digits than its factorization.

256743546720612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28727 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 60.

The spelling of 256743546720612 in words is "two hundred fifty-six trillion, seven hundred forty-three billion, five hundred forty-six million, seven hundred twenty thousand, six hundred twelve".