11486254248 has 288 divisors, whose sum is σ = 38553933600. Its totient is φ = 3192110208.

The previous prime is 11486254237. The next prime is 11486254249. The reversal of 11486254248 is 84245268411.

11486254248 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 62 + 542 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (11486254249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3522843 + ... + 3526101.

It is an arithmetic number, because the mean of its divisors is an integer number (133867825).

Almost surely, 2^11486254248 is an apocalyptic number.

11486254248 is a gapful number since it is divisible by the number (18) 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 11486254248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19276966800).

11486254248 is an abundant number, since it is smaller than the sum of its proper divisors (27067679352).

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

11486254248 is a wasteful number, since it uses less digits than its factorization.

11486254248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3308 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 11486254248 in words is "eleven billion, four hundred eighty-six million, two hundred fifty-four thousand, two hundred forty-eight".