11046534008832 has 780 divisors, whose sum is σ = 39325456871316. Its totient is φ = 3078987448320.

The previous prime is 11046534008773. The next prime is 11046534008857. The reversal of 11046534008832 is 23880043564011.

11046534008832 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 6 + 534 + 0 + 0 + 88 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3485001977856 + 7561532030976 = 1866816^2 + 2749824^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 666529698 + ... + 666546270.

Almost surely, 2^{11046534008832} is an apocalyptic number.

11046534008832 is a gapful number since it is divisible by the number (12) 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 11046534008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19662728435658).

11046534008832 is an abundant number, since it is smaller than the sum of its proper divisors (28278922862484).

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

11046534008832 is an equidigital number, since it uses as much as digits as its factorization.

11046534008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 11046534008832 in words is "eleven trillion, forty-six billion, five hundred thirty-four million, eight thousand, eight hundred thirty-two".