11483903952 has 240 divisors, whose sum is σ = 34732152000. Its totient is φ = 3668861952.

The previous prime is 11483903941. The next prime is 11483903989. The reversal of 11483903952 is 25930938411.

It is a happy number.

11483903952 is a `hidden beast` number, since 1 + 1 + 483 + 90 + 39 + 52 = 666.

It is a super-2 number, since 2×11483903952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11483903898 and 11483903907.

It is a congruent number.

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, 20182324 + ... + 20182892.

It is an arithmetic number, because the mean of its divisors is an integer number (144717300).

Almost surely, 2^11483903952 is an apocalyptic number.

11483903952 is a gapful number since it is divisible by the number (12) 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 11483903952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076000).

11483903952 is an abundant number, since it is smaller than the sum of its proper divisors (23248248048).

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

11483903952 is a wasteful number, since it uses less digits than its factorization.

11483903952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11483903952 in words is "eleven billion, four hundred eighty-three million, nine hundred three thousand, nine hundred fifty-two".