63222954409440 has 288 divisors, whose sum is σ = 254523379009536. Its totient is φ = 13984800906240.

The previous prime is 63222954409379. The next prime is 63222954409441. The reversal of 63222954409440 is 4490445922236.

63222954409440 is a `hidden beast` number, since 6 + 3 + 2 + 2 + 2 + 9 + 544 + 0 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×63222954409440³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63222954409441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100850722 + ... + 101475681.

It is an arithmetic number, because the mean of its divisors is an integer number (883761732672).

Almost surely, 2^{63222954409440} is an apocalyptic number.

63222954409440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63222954409440 is an abundant number, since it is smaller than the sum of its proper divisors (191300424600096).

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

63222954409440 is a wasteful number, since it uses less digits than its factorization.

63222954409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202326462 (or 202326451 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 63222954409440 in words is "sixty-three trillion, two hundred twenty-two billion, nine hundred fifty-four million, four hundred nine thousand, four hundred forty".