1311408951768 has 96 divisors (see below), whose sum is σ = 3561702300000. Its totient is φ = 435910422528.

The previous prime is 1311408951683. The next prime is 1311408951817. The reversal of 1311408951768 is 8671598041131.

1311408951768 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 40 + 89 + 517 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60733518 + ... + 60755106.

It is an arithmetic number, because the mean of its divisors is an integer number (37101065625).

Almost surely, 2^{1311408951768} is an apocalyptic number.

1311408951768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1311408951768 is an abundant number, since it is smaller than the sum of its proper divisors (2250293348232).

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

1311408951768 is a wasteful number, since it uses less digits than its factorization.

1311408951768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23929 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1311408951768 in words is "one trillion, three hundred eleven billion, four hundred eight million, nine hundred fifty-one thousand, seven hundred sixty-eight".