48218766781284 has 144 divisors (see below), whose sum is σ = 134076705008064. Its totient is φ = 14610559265280.

The previous prime is 48218766781271. The next prime is 48218766781307.

48218766781284 is a `hidden beast` number, since 4 + 8 + 218 + 7 + 66 + 78 + 1 + 284 = 666.

48218766781284 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×48218766781284³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 722204487 + ... + 722271249.

Almost surely, 2^{48218766781284} is an apocalyptic number.

48218766781284 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 48218766781284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67038352504032).

48218766781284 is an abundant number, since it is smaller than the sum of its proper divisors (85857938226780).

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

48218766781284 is a wasteful number, since it uses less digits than its factorization.

48218766781284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81879 (or 81852 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 72.

It can be divided in two parts, 48218766 and 781284, that added together give a triangular number (49000050 = T₉₈₉₉).

The spelling of 48218766781284 in words is "forty-eight trillion, two hundred eighteen billion, seven hundred sixty-six million, seven hundred eighty-one thousand, two hundred eighty-four".