48663366336684 has 144 divisors (see below), whose sum is σ = 135530757363456. Its totient is φ = 14599479312000.

The previous prime is 48663366336617. The next prime is 48663366336703.

48663366336684 is a `hidden beast` number, since 48 + 6 + 63 + 36 + 63 + 366 + 84 = 666.

48663366336684 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768171499 + ... + 768234845.

It is an arithmetic number, because the mean of its divisors is an integer number (941185815024).

Almost surely, 2^{48663366336684} is an apocalyptic number.

48663366336684 is a gapful number since it is divisible by the number (44) 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 48663366336684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67765378681728).

48663366336684 is an abundant number, since it is smaller than the sum of its proper divisors (86867391026772).

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

48663366336684 is a wasteful number, since it uses less digits than its factorization.

48663366336684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82676 (or 82671 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 72.

It can be divided in two parts, 48663366 and 336684, that added together give a triangular number (49000050 = T₉₈₉₉).

The spelling of 48663366336684 in words is "forty-eight trillion, six hundred sixty-three billion, three hundred sixty-six million, three hundred thirty-six thousand, six hundred eighty-four".