11046134504640 has 448 divisors, whose sum is σ = 37666876566528. Its totient is φ = 2732900352000.

The previous prime is 11046134504611. The next prime is 11046134504689. The reversal of 11046134504640 is 4640543164011.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 322808812 + ... + 322843028.

Almost surely, 2^{11046134504640} is an apocalyptic number.

11046134504640 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 11046134504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18833438283264).

11046134504640 is an abundant number, since it is smaller than the sum of its proper divisors (26620742061888).

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

11046134504640 is a wasteful number, since it uses less digits than its factorization.

11046134504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34536 (or 34526 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 11046134504640 its reverse (4640543164011), we get a palindrome (15686677668651).

The spelling of 11046134504640 in words is "eleven trillion, forty-six billion, one hundred thirty-four million, five hundred four thousand, six hundred forty".