1316545033680 has 240 divisors, whose sum is σ = 4544724025296. Its totient is φ = 341344542720.

The previous prime is 1316545033679. The next prime is 1316545033703. The reversal of 1316545033680 is 863305456131.

1316545033680 is a `hidden beast` number, since 1 + 3 + 1 + 65 + 4 + 503 + 3 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172381075344 + 1144163958336 = 415188^2 + 1069656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8573254 + ... + 8725466.

Almost surely, 2^{1316545033680} is an apocalyptic number.

1316545033680 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 1316545033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272362012648).

1316545033680 is an abundant number, since it is smaller than the sum of its proper divisors (3228178991616).

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

1316545033680 is a wasteful number, since it uses less digits than its factorization.

1316545033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152566 (or 152557 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1316545033680 in words is "one trillion, three hundred sixteen billion, five hundred forty-five million, thirty-three thousand, six hundred eighty".