63226114560 has 960 divisors, whose sum is σ = 269639884800. Its totient is φ = 13369245696.

The previous prime is 63226114489. The next prime is 63226114561. The reversal of 63226114560 is 6541162236.

63226114560 is a `hidden beast` number, since 6 + 3 + 22 + 61 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (63226114561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144022821 + ... + 144023259.

It is an arithmetic number, because the mean of its divisors is an integer number (280874880).

Almost surely, 2^63226114560 is an apocalyptic number.

63226114560 is a gapful number since it is divisible by the number (60) 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 63226114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134819942400).

63226114560 is an abundant number, since it is smaller than the sum of its proper divisors (206413770240).

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

63226114560 is a wasteful number, since it uses less digits than its factorization.

63226114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

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

Adding to 63226114560 its reverse (6541162236), we get a palindrome (69767276796).

The spelling of 63226114560 in words is "sixty-three billion, two hundred twenty-six million, one hundred fourteen thousand, five hundred sixty".