11241374976 has 216 divisors, whose sum is σ = 35305419240. Its totient is φ = 3419209728.

The previous prime is 11241374929. The next prime is 11241374981. The reversal of 11241374976 is 67947314211.

It is a happy number.

11241374976 is a `hidden beast` number, since 1 + 1 + 24 + 137 + 497 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 709689600 + 10531685376 = 26640^2 + 102624^2 .

It is a super-2 number, since 2×11241374976² (a number of 21 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 23 ways as a sum of consecutive naturals, for example, 2663620 + ... + 2667836.

It is an arithmetic number, because the mean of its divisors is an integer number (163451015).

Almost surely, 2^11241374976 is an apocalyptic number.

11241374976 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 11241374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17652709620).

11241374976 is an abundant number, since it is smaller than the sum of its proper divisors (24064044264).

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

11241374976 is a wasteful number, since it uses less digits than its factorization.

11241374976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4324 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 11241374976 in words is "eleven billion, two hundred forty-one million, three hundred seventy-four thousand, nine hundred seventy-six".