11478724770448 has 240 divisors, whose sum is σ = 26305828541440. Its totient is φ = 4817569996800.

The previous prime is 11478724770427. The next prime is 11478724770473. The reversal of 11478724770448 is 84407742787411.

11478724770448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11478724770448² (a number of 27 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 11478724770448.

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, 1231750333 + ... + 1231759651.

Almost surely, 2^{11478724770448} 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 11478724770448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152914270720).

11478724770448 is an abundant number, since it is smaller than the sum of its proper divisors (14827103770992).

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

11478724770448 is a wasteful number, since it uses less digits than its factorization.

11478724770448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 78675968, while the sum is 64.

The spelling of 11478724770448 in words is "eleven trillion, four hundred seventy-eight billion, seven hundred twenty-four million, seven hundred seventy thousand, four hundred forty-eight".