633142016 has 216 divisors, whose sum is σ = 1569988224. Its totient is φ = 252149760.

The previous prime is 633142009. The next prime is 633142021. The reversal of 633142016 is 610241336.

633142016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20423921 + ... + 20423951.

It is an arithmetic number, because the mean of its divisors is an integer number (7268464).

Almost surely, 2^633142016 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 633142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784994112).

633142016 is an abundant number, since it is smaller than the sum of its proper divisors (936846208).

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

633142016 is a wasteful number, since it uses less digits than its factorization.

633142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 633142016 is about 25162.3134071571. The cubic root of 633142016 is about 858.6846739962.

The spelling of 633142016 in words is "six hundred thirty-three million, one hundred forty-two thousand, sixteen".