63298538384256 has 4096 divisors, whose sum is σ = 258095185920000. Its totient is φ = 14838668328960.

The previous prime is 63298538384131. The next prime is 63298538384317. The reversal of 63298538384256 is 65248383589236.

It is a happy number.

63298538384256 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 8 + 538 + 3 + 84 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 614548916301 + ... + 614548916403.

It is an arithmetic number, because the mean of its divisors is an integer number (63011520000).

Almost surely, 2^{63298538384256} 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 63298538384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129047592960000).

63298538384256 is an abundant number, since it is smaller than the sum of its proper divisors (194796647535744).

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

63298538384256 is a wasteful number, since it uses less digits than its factorization.

63298538384256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 63298538384256 in words is "sixty-three trillion, two hundred ninety-eight billion, five hundred thirty-eight million, three hundred eighty-four thousand, two hundred fifty-six".