1363400451105 has 128 divisors (see below), whose sum is σ = 2822171590656. Its totient is φ = 545634835200.

The previous prime is 1363400451073. The next prime is 1363400451107. The reversal of 1363400451105 is 5011540043631.

It is a happy number.

It is not a de Polignac number, because 1363400451105 - 2⁵ = 1363400451073 is a prime.

It is a super-3 number, since 3×1363400451105³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1363400451107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3332892 + ... + 3719538.

It is an arithmetic number, because the mean of its divisors is an integer number (22048215552).

Almost surely, 2^{1363400451105} is an apocalyptic number.

1363400451105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1363400451105 is an abundant number, since it is smaller than the sum of its proper divisors (1458771139551).

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

1363400451105 is a wasteful number, since it uses less digits than its factorization.

1363400451105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386787.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 1363400451105 its reverse (5011540043631), we get a palindrome (6374940494736).

The spelling of 1363400451105 in words is "one trillion, three hundred sixty-three billion, four hundred million, four hundred fifty-one thousand, one hundred five".