1306137951648 has 288 divisors, whose sum is σ = 3988567215360. Its totient is φ = 404670228480.

The previous prime is 1306137951617. The next prime is 1306137951667. The reversal of 1306137951648 is 8461597316031.

1306137951648 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 13 + 79 + 516 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1306137951594 and 1306137951603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23917911 + ... + 23972457.

It is an arithmetic number, because the mean of its divisors is an integer number (13849191720).

Almost surely, 2^{1306137951648} is an apocalyptic number.

1306137951648 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 1306137951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994283607680).

1306137951648 is an abundant number, since it is smaller than the sum of its proper divisors (2682429263712).

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

1306137951648 is a wasteful number, since it uses less digits than its factorization.

1306137951648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54700 (or 54689 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1306137951648 in words is "one trillion, three hundred six billion, one hundred thirty-seven million, nine hundred fifty-one thousand, six hundred forty-eight".