11231145134400 has 168 divisors, whose sum is σ = 36869255395200. Its totient is φ = 2993205002240.

The previous prime is 11231145134399. The next prime is 11231145134401. The reversal of 11231145134400 is 443154113211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11231145134399) and next prime (11231145134401).

It is a super-2 number, since 2×11231145134400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231145134401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7456201 + ... + 8834999.

Almost surely, 2^{11231145134400} is an apocalyptic number.

11231145134400 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 11231145134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434627697600).

11231145134400 is an abundant number, since it is smaller than the sum of its proper divisors (25638110260800).

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

11231145134400 is a wasteful number, since it uses less digits than its factorization.

11231145134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380521 (or 1380506 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 11231145134400 its reverse (443154113211), we get a palindrome (11674299247611).

The spelling of 11231145134400 in words is "eleven trillion, two hundred thirty-one billion, one hundred forty-five million, one hundred thirty-four thousand, four hundred".