63982214016 has 384 divisors, whose sum is σ = 215360156160. Its totient is φ = 16452648960.

The previous prime is 63982213991. The next prime is 63982214027. The reversal of 63982214016 is 61041228936.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17865346 + ... + 17868926.

It is an arithmetic number, because the mean of its divisors is an integer number (560833740).

Almost surely, 2^63982214016 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 63982214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107680078080).

63982214016 is an abundant number, since it is smaller than the sum of its proper divisors (151377942144).

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

63982214016 is a wasteful number, since it uses less digits than its factorization.

63982214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 63982214016 in words is "sixty-three billion, nine hundred eighty-two million, two hundred fourteen thousand, sixteen".