11046134502400 has 66 divisors (see below), whose sum is σ = 27381037450910. Its totient is φ = 4418453790720.

The previous prime is 11046134502341. The next prime is 11046134502401. The reversal of 11046134502400 is 420543164011.

It can be written as a sum of positive squares in 3 ways, for example, as 2302332814336 + 8743801688064 = 1517344^2 + 2956992^2 .

It is a super-2 number, since 2×11046134502400² (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 (11046134502401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215719215 + ... + 215770414.

Almost surely, 2^{11046134502400} is an apocalyptic number.

11046134502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11046134502400 is an abundant number, since it is smaller than the sum of its proper divisors (16334902948510).

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

11046134502400 is an equidigital number, since it uses as much as digits as its factorization.

11046134502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431489659 (or 431489636 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 11046134502400 its reverse (420543164011), we get a palindrome (11466677666411).

The spelling of 11046134502400 in words is "eleven trillion, forty-six billion, one hundred thirty-four million, five hundred two thousand, four hundred".