1316544768000 has 2304 divisors, whose sum is σ = 6094158819840. Its totient is φ = 265420800000.

The previous prime is 1316544767981. The next prime is 1316544768053. The reversal of 1316544768000 is 8674456131.

1316544768000 is a `hidden beast` number, since 1 + 31 + 6 + 544 + 76 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1316544768000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7273727910 + ... + 7273728090.

It is an arithmetic number, because the mean of its divisors is an integer number (2645034210).

Almost surely, 2^{1316544768000} is an apocalyptic number.

1316544768000 is a gapful number since it is divisible by the number (10) 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 1316544768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047079409920).

1316544768000 is an abundant number, since it is smaller than the sum of its proper divisors (4777614051840).

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

1316544768000 is a wasteful number, since it uses less digits than its factorization.

1316544768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1316544768000 in words is "one trillion, three hundred sixteen billion, five hundred forty-four million, seven hundred sixty-eight thousand".