1311621566416 has 80 divisors (see below), whose sum is σ = 2914202368000. Its totient is φ = 560209665024.

The previous prime is 1311621566357. The next prime is 1311621566429. The reversal of 1311621566416 is 6146651261131.

It is a happy number.

It is a super-2 number, since 2×1311621566416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81646801 + ... + 81662863.

It is an arithmetic number, because the mean of its divisors is an integer number (36427529600).

Almost surely, 2^{1311621566416} is an apocalyptic number.

1311621566416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311621566416 is an abundant number, since it is smaller than the sum of its proper divisors (1602580801584).

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

1311621566416 is a wasteful number, since it uses less digits than its factorization.

1311621566416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18510 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The spelling of 1311621566416 in words is "one trillion, three hundred eleven billion, six hundred twenty-one million, five hundred sixty-six thousand, four hundred sixteen".