11476261199424 has 224 divisors, whose sum is σ = 34963786978560. Its totient is φ = 3254280486912.

The previous prime is 11476261199341. The next prime is 11476261199437. The reversal of 11476261199424 is 42499116267411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11476261199424² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108237124 + ... + 108343100.

Almost surely, 2^{11476261199424} is an apocalyptic number.

11476261199424 is a gapful number since it is divisible by the number (14) 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 11476261199424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17481893489280).

11476261199424 is an abundant number, since it is smaller than the sum of its proper divisors (23487525779136).

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

11476261199424 is a wasteful number, since it uses less digits than its factorization.

11476261199424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106605 (or 106595 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 11476261199424 in words is "eleven trillion, four hundred seventy-six billion, two hundred sixty-one million, one hundred ninety-nine thousand, four hundred twenty-four".