633263435516032 has 128 divisors (see below), whose sum is σ = 1306141374384000. Its totient is φ = 305465374900224.

The previous prime is 633263435515969. The next prime is 633263435516039. The reversal of 633263435516032 is 230615534362336.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×633263435516032² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (633263435516039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33482961808 + ... + 33482980720.

It is an arithmetic number, because the mean of its divisors is an integer number (10204229487375).

Almost surely, 2^{633263435516032} 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 633263435516032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653070687192000).

633263435516032 is an abundant number, since it is smaller than the sum of its proper divisors (672877938867968).

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

633263435516032 is a wasteful number, since it uses less digits than its factorization.

633263435516032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25798 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 52.

Adding to 633263435516032 its reverse (230615534362336), we get a palindrome (863878969878368).

The spelling of 633263435516032 in words is "six hundred thirty-three trillion, two hundred sixty-three billion, four hundred thirty-five million, five hundred sixteen thousand, thirty-two".