11983251456 has 432 divisors, whose sum is σ = 39649428000. Its totient is φ = 3613040640.

The previous prime is 11983251437. The next prime is 11983251487. The reversal of 11983251456 is 65415238911.

It is a happy number.

11983251456 is a `hidden beast` number, since 1 + 1 + 9 + 83 + 2 + 514 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×11983251456² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60217245 + ... + 60217443.

Almost surely, 2^11983251456 is an apocalyptic number.

11983251456 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 11983251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19824714000).

11983251456 is an abundant number, since it is smaller than the sum of its proper divisors (27666176544).

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

11983251456 is an equidigital number, since it uses as much as digits as its factorization.

11983251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 215 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 11983251456 in words is "eleven billion, nine hundred eighty-three million, two hundred fifty-one thousand, four hundred fifty-six".