11282811848640 has 784 divisors, whose sum is σ = 42568114406400. Its totient is φ = 2839263197184.

The previous prime is 11282811848629. The next prime is 11282811848683. The reversal of 11282811848640 is 4684811828211.

11282811848640 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 8 + 118 + 486 + 40 = 666.

It is a super-2 number, since 2×11282811848640² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1165695321 + ... + 1165704999.

Almost surely, 2^{11282811848640} is an apocalyptic number.

11282811848640 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 11282811848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284057203200).

11282811848640 is an abundant number, since it is smaller than the sum of its proper divisors (31285302557760).

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

11282811848640 is an equidigital number, since it uses as much as digits as its factorization.

11282811848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9996 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 11282811848640 in words is "eleven trillion, two hundred eighty-two billion, eight hundred eleven million, eight hundred forty-eight thousand, six hundred forty".