11478884352 has 448 divisors, whose sum is σ = 36404336640. Its totient is φ = 3185049600.

The previous prime is 11478884309. The next prime is 11478884353. The reversal of 11478884352 is 25348887411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11478884295 and 11478884304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478884353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 188178402 + ... + 188178462.

It is an arithmetic number, because the mean of its divisors is an integer number (81259680).

Almost surely, 2^11478884352 is an apocalyptic number.

11478884352 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 11478884352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202168320).

11478884352 is an abundant number, since it is smaller than the sum of its proper divisors (24925452288).

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

11478884352 is a wasteful number, since it uses less digits than its factorization.

11478884352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

It can be divided in two parts, 11478884 and 352, that added together give a triangular number (11479236 = T₄₇₉₁).

The spelling of 11478884352 in words is "eleven billion, four hundred seventy-eight million, eight hundred eighty-four thousand, three hundred fifty-two".