1306111620464 has 80 divisors (see below), whose sum is σ = 2969822752512. Its totient is φ = 544811871744.

The previous prime is 1306111620439. The next prime is 1306111620521. The reversal of 1306111620464 is 4640261116031.

It is a super-2 number, since 2×1306111620464² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 883772 + ... + 1842084.

Almost surely, 2^{1306111620464} is an apocalyptic number.

1306111620464 is a gapful number since it is divisible by the number (14) 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 1306111620464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484911376256).

1306111620464 is an abundant number, since it is smaller than the sum of its proper divisors (1663711132048).

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

1306111620464 is a wasteful number, since it uses less digits than its factorization.

1306111620464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958654 (or 958648 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 1306111620464 its reverse (4640261116031), we get a palindrome (5946372736495).

The spelling of 1306111620464 in words is "one trillion, three hundred six billion, one hundred eleven million, six hundred twenty thousand, four hundred sixty-four".