1301262713856 has 1232 divisors, whose sum is σ = 4776876579840. Its totient is φ = 346135265280.

The previous prime is 1301262713819. The next prime is 1301262713929. The reversal of 1301262713856 is 6583172621031.

It is a happy number.

1301262713856 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 627 + 13 + 8 + 5 + 6 = 666.

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 111 ways as a sum of consecutive naturals, for example, 4697699190 + ... + 4697699466.

Almost surely, 2^{1301262713856} is an apocalyptic number.

1301262713856 is a gapful number since it is divisible by the number (16) 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 1301262713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388438289920).

1301262713856 is an abundant number, since it is smaller than the sum of its proper divisors (3475613865984).

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

1301262713856 is an equidigital number, since it uses as much as digits as its factorization.

1301262713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1301262713856 in words is "one trillion, three hundred one billion, two hundred sixty-two million, seven hundred thirteen thousand, eight hundred fifty-six".