1316121437664 has 384 divisors, whose sum is σ = 4251796738560. Its totient is φ = 392761036800.

The previous prime is 1316121437651. The next prime is 1316121437699. The reversal of 1316121437664 is 4667341216131.

1316121437664 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 1 + 214 + 376 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175924804 + ... + 175932284.

It is an arithmetic number, because the mean of its divisors is an integer number (11072387340).

Almost surely, 2^{1316121437664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316121437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125898369280).

1316121437664 is an abundant number, since it is smaller than the sum of its proper divisors (2935675300896).

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

1316121437664 is a wasteful number, since it uses less digits than its factorization.

1316121437664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7777 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 1316121437664 in words is "one trillion, three hundred sixteen billion, one hundred twenty-one million, four hundred thirty-seven thousand, six hundred sixty-four".