1305226971648 has 240 divisors, whose sum is σ = 3796011555336. Its totient is φ = 431731998720.

The previous prime is 1305226971647. The next prime is 1305226971677. The reversal of 1305226971648 is 8461796225031.

It is a happy number.

1305226971648 is a `hidden beast` number, since 1 + 3 + 0 + 522 + 6 + 9 + 71 + 6 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1305187432704 + 39538944 = 1142448^2 + 6288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1305226971594 and 1305226971603.

It is not an unprimeable number, because it can be changed into a prime (1305226971647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526937386 + ... + 526939862.

It is a 1-persistent number, because it is pandigital, but 2⋅1305226971648 = 2610453943296 is not.

Almost surely, 2^{1305226971648} is an apocalyptic number.

1305226971648 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 1305226971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898005777668).

1305226971648 is an abundant number, since it is smaller than the sum of its proper divisors (2490784583688).

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

1305226971648 is a wasteful number, since it uses less digits than its factorization.

1305226971648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1305226971648 in words is "one trillion, three hundred five billion, two hundred twenty-six million, nine hundred seventy-one thousand, six hundred forty-eight".