11982190248 has 256 divisors, whose sum is σ = 40164864000. Its totient is φ = 3233260800.

The previous prime is 11982190243. The next prime is 11982190261. The reversal of 11982190248 is 84209128911.

11982190248 is a `hidden beast` number, since 1 + 198 + 219 + 0 + 248 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11982190243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18127038 + ... + 18127698.

It is an arithmetic number, because the mean of its divisors is an integer number (156894000).

Almost surely, 2^11982190248 is an apocalyptic number.

11982190248 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 11982190248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20082432000).

11982190248 is an abundant number, since it is smaller than the sum of its proper divisors (28182673752).

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

11982190248 is a wasteful number, since it uses less digits than its factorization.

11982190248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 11982190248 in words is "eleven billion, nine hundred eighty-two million, one hundred ninety thousand, two hundred forty-eight".