11302320012984 has 576 divisors, whose sum is σ = 41354276221440. Its totient is φ = 2693141291520.

The previous prime is 11302320012941. The next prime is 11302320013003. The reversal of 11302320012984 is 48921002320311.

11302320012984 is a `hidden beast` number, since 1 + 1 + 302 + 320 + 0 + 1 + 29 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 2010013197 + ... + 2010018819.

It is an arithmetic number, because the mean of its divisors is an integer number (71795618440).

Almost surely, 2^{11302320012984} is an apocalyptic number.

11302320012984 is a gapful number since it is divisible by the number (14) 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 11302320012984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677138110720).

11302320012984 is an abundant number, since it is smaller than the sum of its proper divisors (30051956208456).

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

11302320012984 is a wasteful number, since it uses less digits than its factorization.

11302320012984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11302320012984 in words is "eleven trillion, three hundred two billion, three hundred twenty million, twelve thousand, nine hundred eighty-four".