11218046470976 has 448 divisors, whose sum is σ = 26173762191360. Its totient is φ = 4738654863360.

The previous prime is 11218046470963. The next prime is 11218046471011. The reversal of 11218046470976 is 67907464081211.

11218046470976 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 2×11218046470976² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2845051661 + ... + 2845055603.

It is an arithmetic number, because the mean of its divisors is an integer number (58423576320).

Almost surely, 2^{11218046470976} is an apocalyptic number.

11218046470976 is a gapful number since it is divisible by the number (16) 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 11218046470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086881095680).

11218046470976 is an abundant number, since it is smaller than the sum of its proper divisors (14955715720384).

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

11218046470976 is a wasteful number, since it uses less digits than its factorization.

11218046470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 11218046470976 in words is "eleven trillion, two hundred eighteen billion, forty-six million, four hundred seventy thousand, nine hundred seventy-six".