263632401216 has 112 divisors (see below), whose sum is σ = 775464844800. Its totient is φ = 87828212736.

The previous prime is 263632401209. The next prime is 263632401239. The reversal of 263632401216 is 612104236362.

263632401216 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 32 + 401 + 216 = 666.

263632401216 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3108300 + ... + 3191988.

Almost surely, 2^263632401216 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 263632401216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387732422400).

263632401216 is an abundant number, since it is smaller than the sum of its proper divisors (511832443584).

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

263632401216 is a wasteful number, since it uses less digits than its factorization.

263632401216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85533 (or 85517 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 263632401216 its reverse (612104236362), we get a palindrome (875736637578).

The spelling of 263632401216 in words is "two hundred sixty-three billion, six hundred thirty-two million, four hundred one thousand, two hundred sixteen".