5631811416 has 480 divisors, whose sum is σ = 20516643840. Its totient is φ = 1411344000.

The previous prime is 5631811363. The next prime is 5631811453. The reversal of 5631811416 is 6141181365.

It is a happy number.

5631811416 is a `hidden beast` number, since 5 + 63 + 181 + 1 + 416 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17014371 + ... + 17014701.

It is an arithmetic number, because the mean of its divisors is an integer number (42743008).

Almost surely, 2^5631811416 is an apocalyptic number.

5631811416 is a gapful number since it is divisible by the number (56) 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 5631811416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258321920).

5631811416 is an abundant number, since it is smaller than the sum of its proper divisors (14884832424).

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

5631811416 is a wasteful number, since it uses less digits than its factorization.

5631811416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5631811416 is about 75045.3957015352. The cubic root of 5631811416 is about 1779.1642139449.

The spelling of 5631811416 in words is "five billion, six hundred thirty-one million, eight hundred eleven thousand, four hundred sixteen".