11948215824 has 240 divisors, whose sum is σ = 35800833600. Its totient is φ = 3814677504.

The previous prime is 11948215823. The next prime is 11948215841. The reversal of 11948215824 is 42851284911.

11948215824 is a `hidden beast` number, since 1 + 1 + 9 + 48 + 21 + 582 + 4 = 666.

It is a super-2 number, since 2×11948215824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11948215824.

It is not an unprimeable number, because it can be changed into a prime (11948215823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52635199 + ... + 52635425.

It is an arithmetic number, because the mean of its divisors is an integer number (149170140).

Almost surely, 2^11948215824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11948215824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900416800).

11948215824 is an abundant number, since it is smaller than the sum of its proper divisors (23852617776).

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

11948215824 is a wasteful number, since it uses less digits than its factorization.

11948215824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 358 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 11948215824 in words is "eleven billion, nine hundred forty-eight million, two hundred fifteen thousand, eight hundred twenty-four".