11617631424 has 336 divisors, whose sum is σ = 40260519936. Its totient is φ = 3132518400.

The previous prime is 11617631423. The next prime is 11617631437. The reversal of 11617631424 is 42413671611.

11617631424 is a `hidden beast` number, since 1 + 1 + 6 + 17 + 631 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 not an unprimeable number, because it can be changed into a prime (11617631423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5123539 + ... + 5125805.

It is an arithmetic number, because the mean of its divisors is an integer number (119822976).

Almost surely, 2^11617631424 is an apocalyptic number.

11617631424 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 11617631424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20130259968).

11617631424 is an abundant number, since it is smaller than the sum of its proper divisors (28642888512).

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

11617631424 is a wasteful number, since it uses less digits than its factorization.

11617631424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2351 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 11617631424 in words is "eleven billion, six hundred seventeen million, six hundred thirty-one thousand, four hundred twenty-four".