11355791356668 has 48 divisors (see below), whose sum is σ = 29082986061696. Its totient is φ = 3420037546560.

The previous prime is 11355791356661. The next prime is 11355791356673. The reversal of 11355791356668 is 86665319755311.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 11355791356599 and 11355791356608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355791356661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263870271 + ... + 263913302.

It is an arithmetic number, because the mean of its divisors is an integer number (605895542952).

Almost surely, 2^{11355791356668} is an apocalyptic number.

It is an amenable number.

11355791356668 is an abundant number, since it is smaller than the sum of its proper divisors (17727194705028).

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

11355791356668 is a wasteful number, since it uses less digits than its factorization.

11355791356668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527783754 (or 527783752 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 66.

The spelling of 11355791356668 in words is "eleven trillion, three hundred fifty-five billion, seven hundred ninety-one million, three hundred fifty-six thousand, six hundred sixty-eight".