84048721711488 has 256 divisors, whose sum is σ = 251703261835200. Its totient is φ = 27951497625600.

The previous prime is 84048721711481. The next prime is 84048721711529. The reversal of 84048721711488 is 88411712784048.

It is a happy number.

84048721711488 is a `hidden beast` number, since 8 + 4 + 0 + 4 + 87 + 2 + 1 + 71 + 1 + 488 = 666.

It is a super-2 number, since 2×84048721711488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84048721711481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120865588 + ... + 121558988.

Almost surely, 2^{84048721711488} 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 84048721711488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125851630917600).

84048721711488 is an abundant number, since it is smaller than the sum of its proper divisors (167654540123712).

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

84048721711488 is an frugal number, since it uses more digits than its factorization.

84048721711488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693869 (or 693839 counting only the distinct ones).

The product of its (nonzero) digits is 25690112, while the sum is 63.

The spelling of 84048721711488 in words is "eighty-four trillion, forty-eight billion, seven hundred twenty-one million, seven hundred eleven thousand, four hundred eighty-eight".