11150827044864 has 240 divisors, whose sum is σ = 33414211686912. Its totient is φ = 3281844436992.

The previous prime is 11150827044859. The next prime is 11150827044923. The reversal of 11150827044864 is 46844072805111.

It is a happy number.

It is a super-3 number, since 3×11150827044864³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14317077 + ... + 15075819.

Almost surely, 2^{11150827044864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11150827044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707105843456).

11150827044864 is an abundant number, since it is smaller than the sum of its proper divisors (22263384642048).

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

11150827044864 is an equidigital number, since it uses as much as digits as its factorization.

11150827044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758810 (or 758784 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

Adding to 11150827044864 its reverse (46844072805111), we get a palindrome (57994899849975).

The spelling of 11150827044864 in words is "eleven trillion, one hundred fifty billion, eight hundred twenty-seven million, forty-four thousand, eight hundred sixty-four".