1266460311168 has 768 divisors, whose sum is σ = 4124103984000. Its totient is φ = 370530091008.

The previous prime is 1266460311167. The next prime is 1266460311191. The reversal of 1266460311168 is 8611130646621.

1266460311168 is a `hidden beast` number, since 1 + 26 + 6 + 4 + 603 + 1 + 1 + 16 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1266460311163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6428732446 + ... + 6428732642.

Almost surely, 2^{1266460311168} is an apocalyptic number.

1266460311168 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 1266460311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062051992000).

1266460311168 is an abundant number, since it is smaller than the sum of its proper divisors (2857643672832).

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

1266460311168 is a wasteful number, since it uses less digits than its factorization.

1266460311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

Adding to 1266460311168 its reverse (8611130646621), we get a palindrome (9877590957789).

The spelling of 1266460311168 in words is "one trillion, two hundred sixty-six billion, four hundred sixty million, three hundred eleven thousand, one hundred sixty-eight".