48382687051776 has 1408 divisors, whose sum is σ = 182256893752320. Its totient is φ = 12475202273280.

The previous prime is 48382687051733. The next prime is 48382687051801. The reversal of 48382687051776 is 67715078628384.

48382687051776 is a `hidden beast` number, since 4 + 8 + 3 + 8 + 26 + 87 + 0 + 517 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353158299580 + ... + 353158299716.

Almost surely, 2^{48382687051776} 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 48382687051776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91128446876160).

48382687051776 is an abundant number, since it is smaller than the sum of its proper divisors (133874206700544).

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

48382687051776 is an frugal number, since it uses more digits than its factorization.

48382687051776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 48382687051776 in words is "forty-eight trillion, three hundred eighty-two billion, six hundred eighty-seven million, fifty-one thousand, seven hundred seventy-six".