11302473811968 has 960 divisors, whose sum is σ = 36464499751680. Its totient is φ = 3475441188864.

The previous prime is 11302473811901. The next prime is 11302473812017. The reversal of 11302473811968 is 86911837420311.

11302473811968 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 2 + 473 + 81 + 1 + 96 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48508471180 + ... + 48508471412.

It is an arithmetic number, because the mean of its divisors is an integer number (37983853908).

Almost surely, 2^{11302473811968} is an apocalyptic number.

11302473811968 is a gapful number since it is divisible by the number (18) 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 11302473811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18232249875840).

11302473811968 is an abundant number, since it is smaller than the sum of its proper divisors (25162025939712).

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

11302473811968 is a wasteful number, since it uses less digits than its factorization.

11302473811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 11302473811968 in words is "eleven trillion, three hundred two billion, four hundred seventy-three million, eight hundred eleven thousand, nine hundred sixty-eight".