11983456318896 has 240 divisors, whose sum is σ = 36776834155776. Its totient is φ = 3631090788864.

The previous prime is 11983456318861. The next prime is 11983456318931. The reversal of 11983456318896 is 69881365438911.

11983456318896 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 3 + 456 + 3 + 1 + 88 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (11983456318861) and next prime (11983456318931).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4132311 + ... + 6406473.

Almost surely, 2^{11983456318896} is an apocalyptic number.

11983456318896 is a gapful number since it is divisible by the number (16) 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 11983456318896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388417077888).

11983456318896 is an abundant number, since it is smaller than the sum of its proper divisors (24793377836880).

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

11983456318896 is a wasteful number, since it uses less digits than its factorization.

11983456318896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274280 (or 2274271 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 11983456318896 in words is "eleven trillion, nine hundred eighty-three billion, four hundred fifty-six million, three hundred eighteen thousand, eight hundred ninety-six".