63812339339364 has 576 divisors, whose sum is σ = 218850792652800. Its totient is φ = 15695972328960.

The previous prime is 63812339339351. The next prime is 63812339339389. The reversal of 63812339339364 is 46393393321836.

63812339339364 is a `hidden beast` number, since 6 + 3 + 8 + 1 + 233 + 9 + 3 + 39 + 364 = 666.

It is a super-4 number, since 4×63812339339364⁴ (a number of 56 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5504379552 + ... + 5504391144.

It is an arithmetic number, because the mean of its divisors is an integer number (379949292800).

Almost surely, 2^{63812339339364} 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 63812339339364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109425396326400).

63812339339364 is an abundant number, since it is smaller than the sum of its proper divisors (155038453313436).

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

63812339339364 is a wasteful number, since it uses less digits than its factorization.

63812339339364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821 (or 14802 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 63.

The spelling of 63812339339364 in words is "sixty-three trillion, eight hundred twelve billion, three hundred thirty-nine million, three hundred thirty-nine thousand, three hundred sixty-four".