63083248913664 has 2160 divisors, whose sum is σ = 248151526318080. Its totient is φ = 15802454384640.

The previous prime is 63083248913647. The next prime is 63083248913669. The reversal of 63083248913664 is 46631984238036.

63083248913664 is a `hidden beast` number, since 6 + 3 + 0 + 83 + 2 + 489 + 13 + 6 + 64 = 666.

It is a super-2 number, since 2×63083248913664² (a number of 28 digits) contains 22 as substring.

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 (63083248913669) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13764616717 + ... + 13764621299.

It is an arithmetic number, because the mean of its divisors is an integer number (114884965888).

Almost surely, 2^{63083248913664} is an apocalyptic number.

63083248913664 is a gapful number since it is divisible by the number (64) 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 63083248913664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124075763159040).

63083248913664 is an abundant number, since it is smaller than the sum of its proper divisors (185068277404416).

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

63083248913664 is a wasteful number, since it uses less digits than its factorization.

63083248913664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 63083248913664 in words is "sixty-three trillion, eighty-three billion, two hundred forty-eight million, nine hundred thirteen thousand, six hundred sixty-four".