11355505414000 has 160 divisors (see below), whose sum is σ = 30064304904192. Its totient is φ = 4114035360000.

The previous prime is 11355505413971. The next prime is 11355505414007. The reversal of 11355505414000 is 41450555311.

It is a super-2 number, since 2×11355505414000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11355505414007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5009677 + ... + 6914323.

Almost surely, 2^{11355505414000} is an apocalyptic number.

11355505414000 is a gapful number since it is divisible by the number (10) 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 11355505414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032152452096).

11355505414000 is an abundant number, since it is smaller than the sum of its proper divisors (18708799490192).

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

11355505414000 is a wasteful number, since it uses less digits than its factorization.

11355505414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904952 (or 1904936 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 34.

Adding to 11355505414000 its reverse (41450555311), we get a palindrome (11396955969311).

The spelling of 11355505414000 in words is "eleven trillion, three hundred fifty-five billion, five hundred five million, four hundred fourteen thousand".