5633146008 has 96 divisors (see below), whose sum is σ = 17489122560. Its totient is φ = 1604560320.

The previous prime is 5633146003. The next prime is 5633146019. The reversal of 5633146008 is 8006413365.

5633146008 is a `hidden beast` number, since 5 + 6 + 33 + 14 + 600 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633146003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149941 + ... + 183707.

It is an arithmetic number, because the mean of its divisors is an integer number (182178360).

Almost surely, 2^5633146008 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 5633146008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744561280).

5633146008 is an abundant number, since it is smaller than the sum of its proper divisors (11855976552).

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

5633146008 is a wasteful number, since it uses less digits than its factorization.

5633146008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34117 (or 34110 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5633146008 is about 75054.2870727582. The cubic root of 5633146008 is about 1779.3047413060.

The spelling of 5633146008 in words is "five billion, six hundred thirty-three million, one hundred forty-six thousand, eight".