11938473984 has 192 divisors, whose sum is σ = 34594560000. Its totient is φ = 3647324160.

The previous prime is 11938473977. The next prime is 11938473997. The reversal of 11938473984 is 48937483911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11938473984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3617167 + ... + 3620465.

It is an arithmetic number, because the mean of its divisors is an integer number (180180000).

Almost surely, 2^11938473984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11938473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280000).

11938473984 is an abundant number, since it is smaller than the sum of its proper divisors (22656086016).

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

11938473984 is a wasteful number, since it uses less digits than its factorization.

11938473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3354 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 11938473984 in words is "eleven billion, nine hundred thirty-eight million, four hundred seventy-three thousand, nine hundred eighty-four".