11338668051984 has 1920 divisors, whose sum is σ = 44064513024000. Its totient is φ = 2758547570688.

The previous prime is 11338668051973. The next prime is 11338668052037. The reversal of 11338668051984 is 48915086683311.

11338668051984 is a `hidden beast` number, since 1 + 1 + 3 + 38 + 6 + 6 + 8 + 0 + 519 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40065964707 + ... + 40065964989.

It is an arithmetic number, because the mean of its divisors is an integer number (22950267200).

Almost surely, 2^{11338668051984} is an apocalyptic number.

11338668051984 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 11338668051984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032256512000).

11338668051984 is an abundant number, since it is smaller than the sum of its proper divisors (32725844972016).

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

11338668051984 is a wasteful number, since it uses less digits than its factorization.

11338668051984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 11338668051984 in words is "eleven trillion, three hundred thirty-eight billion, six hundred sixty-eight million, fifty-one thousand, nine hundred eighty-four".