84083177138048 has 256 divisors, whose sum is σ = 192328725888000. Its totient is φ = 36260711424000.

The previous prime is 84083177138033. The next prime is 84083177138083.

84083177138048 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2587875083 + ... + 2587907573.

It is an arithmetic number, because the mean of its divisors is an integer number (751284085500).

Almost surely, 2^{84083177138048} is an apocalyptic number.

84083177138048 is a gapful number since it is divisible by the number (88) 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 84083177138048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96164362944000).

84083177138048 is an abundant number, since it is smaller than the sum of its proper divisors (108245548749952).

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

84083177138048 is a wasteful number, since it uses less digits than its factorization.

84083177138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33645 (or 33633 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 62.

The spelling of 84083177138048 in words is "eighty-four trillion, eighty-three billion, one hundred seventy-seven million, one hundred thirty-eight thousand, forty-eight".