63416082724848 has 320 divisors, whose sum is σ = 222922602040320. Its totient is φ = 16847604523008.

The previous prime is 63416082724847. The next prime is 63416082724853. The reversal of 63416082724848 is 84842728061436.

It is a happy number.

63416082724848 is a `hidden beast` number, since 6 + 3 + 4 + 1 + 6 + 0 + 82 + 72 + 484 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63416082724847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3164365 + ... + 11698092.

It is an arithmetic number, because the mean of its divisors is an integer number (696633131376).

Almost surely, 2^{63416082724848} is an apocalyptic number.

63416082724848 is a gapful number since it is divisible by the number (68) 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 63416082724848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111461301020160).

63416082724848 is an abundant number, since it is smaller than the sum of its proper divisors (159506519315472).

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

63416082724848 is a wasteful number, since it uses less digits than its factorization.

63416082724848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14862581 (or 14862569 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 63416082724848 in words is "sixty-three trillion, four hundred sixteen billion, eighty-two million, seven hundred twenty-four thousand, eight hundred forty-eight".