11048988819456 has 1920 divisors, whose sum is σ = 41270691840000. Its totient is φ = 2949674434560.

The previous prime is 11048988819443. The next prime is 11048988819541. The reversal of 11048988819456 is 65491888984011.

11048988819456 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 8 + 98 + 8 + 81 + 9 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 356418994161 + ... + 356418994191.

It is an arithmetic number, because the mean of its divisors is an integer number (21495152000).

Almost surely, 2^{11048988819456} is an apocalyptic number.

11048988819456 is a gapful number since it is divisible by the number (16) 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 11048988819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635345920000).

11048988819456 is an abundant number, since it is smaller than the sum of its proper divisors (30221703020544).

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

11048988819456 is an frugal number, since it uses more digits than its factorization.

11048988819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 72.

The spelling of 11048988819456 in words is "eleven trillion, forty-eight billion, nine hundred eighty-eight million, eight hundred nineteen thousand, four hundred fifty-six".