11110948928352 has 288 divisors, whose sum is σ = 40328632012032. Its totient is φ = 2930359970304.

The previous prime is 11110948928351. The next prime is 11110948928381. The reversal of 11110948928352 is 25382984901111.

11110948928352 is a `hidden beast` number, since 1 + 1 + 1 + 109 + 489 + 2 + 8 + 3 + 52 = 666.

11110948928352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110948928351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7143358 + ... + 8558589.

It is an arithmetic number, because the mean of its divisors is an integer number (140029972264).

Almost surely, 2^{11110948928352} is an apocalyptic number.

11110948928352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11110948928352 is an abundant number, since it is smaller than the sum of its proper divisors (29217683083680).

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

11110948928352 is a wasteful number, since it uses less digits than its factorization.

11110948928352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15701992 (or 15701972 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 11110948928352 in words is "eleven trillion, one hundred ten billion, nine hundred forty-eight million, nine hundred twenty-eight thousand, three hundred fifty-two".