1353111123366 has 192 divisors, whose sum is σ = 3316454668800. Its totient is φ = 396823795200.

The previous prime is 1353111123307. The next prime is 1353111123449. The reversal of 1353111123366 is 6633211113531.

1353111123366 is a `hidden beast` number, since 1 + 3 + 5 + 311 + 1 + 1 + 2 + 336 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1353111123366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28847865 + ... + 28894731.

It is an arithmetic number, because the mean of its divisors is an integer number (17273201400).

Almost surely, 2^{1353111123366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353111123366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658227334400).

1353111123366 is an abundant number, since it is smaller than the sum of its proper divisors (1963343545434).

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

1353111123366 is a wasteful number, since it uses less digits than its factorization.

1353111123366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47035 (or 47032 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

Adding to 1353111123366 its reverse (6633211113531), we get a palindrome (7986322236897).

The spelling of 1353111123366 in words is "one trillion, three hundred fifty-three billion, one hundred eleven million, one hundred twenty-three thousand, three hundred sixty-six".