1314783553968 has 200 divisors, whose sum is σ = 3860705707056. Its totient is φ = 431897702400.

The previous prime is 1314783553957. The next prime is 1314783553973. The reversal of 1314783553968 is 8693553874131.

1314783553968 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 8 + 35 + 539 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128756383 + ... + 128766593.

Almost surely, 2^{1314783553968} is an apocalyptic number.

1314783553968 is a gapful number since it is divisible by the number (18) 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 1314783553968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930352853528).

1314783553968 is an abundant number, since it is smaller than the sum of its proper divisors (2545922153088).

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

1314783553968 is a wasteful number, since it uses less digits than its factorization.

1314783553968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11650 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 1314783553968 in words is "one trillion, three hundred fourteen billion, seven hundred eighty-three million, five hundred fifty-three thousand, nine hundred sixty-eight".