11461424436 has 216 divisors, whose sum is σ = 37381809920. Its totient is φ = 2896248960.

The previous prime is 11461424431. The next prime is 11461424437. The reversal of 11461424436 is 63442416411.

11461424436 is a `hidden beast` number, since 1 + 1 + 4 + 614 + 2 + 4 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11461424436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461424431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1123125 + ... + 1133283.

Almost surely, 2^11461424436 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 11461424436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18690904960).

11461424436 is an abundant number, since it is smaller than the sum of its proper divisors (25920385484).

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

11461424436 is a wasteful number, since it uses less digits than its factorization.

11461424436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235 (or 10219 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 11461424436 in words is "eleven billion, four hundred sixty-one million, four hundred twenty-four thousand, four hundred thirty-six".