1266791353344 has 1760 divisors, whose sum is σ = 4714882546176. Its totient is φ = 334005534720.

The previous prime is 1266791353307. The next prime is 1266791353349. The reversal of 1266791353344 is 4433531976621.

1266791353344 is a `hidden beast` number, since 1 + 2 + 6 + 67 + 9 + 1 + 3 + 533 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1266791353349) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18907333599 + ... + 18907333665.

Almost surely, 2^{1266791353344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266791353344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357441273088).

1266791353344 is an abundant number, since it is smaller than the sum of its proper divisors (3448091192832).

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

1266791353344 is a wasteful number, since it uses less digits than its factorization.

1266791353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 1266791353344 in words is "one trillion, two hundred sixty-six billion, seven hundred ninety-one million, three hundred fifty-three thousand, three hundred forty-four".