1316911833600 has 480 divisors, whose sum is σ = 4760664226560. Its totient is φ = 318253056000.

The previous prime is 1316911833583. The next prime is 1316911833617. The reversal of 1316911833600 is 63381196131.

It is an interprime number because it is at equal distance from previous prime (1316911833583) and next prime (1316911833617).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139809691 + ... + 139819109.

It is an arithmetic number, because the mean of its divisors is an integer number (9918050472).

Almost surely, 2^{1316911833600} is an apocalyptic number.

1316911833600 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 1316911833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380332113280).

1316911833600 is an abundant number, since it is smaller than the sum of its proper divisors (3443752392960).

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

1316911833600 is a wasteful number, since it uses less digits than its factorization.

1316911833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 1316911833600 in words is "one trillion, three hundred sixteen billion, nine hundred eleven million, eight hundred thirty-three thousand, six hundred".