1316893130496 has 288 divisors, whose sum is σ = 3942689587200. Its totient is φ = 433539993600.

The previous prime is 1316893130489. The next prime is 1316893130507. The reversal of 1316893130496 is 6940313986131.

1316893130496 is a `hidden beast` number, since 1 + 3 + 1 + 68 + 93 + 1 + 3 + 0 + 496 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201018421 + ... + 201024971.

It is an arithmetic number, because the mean of its divisors is an integer number (13689894400).

Almost surely, 2^{1316893130496} is an apocalyptic number.

1316893130496 is a gapful number since it is divisible by the number (16) 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 1316893130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971344793600).

1316893130496 is an abundant number, since it is smaller than the sum of its proper divisors (2625796456704).

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

1316893130496 is a wasteful number, since it uses less digits than its factorization.

1316893130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1316893130496 in words is "one trillion, three hundred sixteen billion, eight hundred ninety-three million, one hundred thirty thousand, four hundred ninety-six".