84022122122048 has 336 divisors, whose sum is σ = 194393011182720. Its totient is φ = 35904591360000.

The previous prime is 84022122122041. The next prime is 84022122122063.

84022122122048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84022122122041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36014624690 + ... + 36014627022.

It is an arithmetic number, because the mean of its divisors is an integer number (578550628520).

Almost surely, 2^{84022122122048} is an apocalyptic number.

84022122122048 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 84022122122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97196505591360).

84022122122048 is an abundant number, since it is smaller than the sum of its proper divisors (110370889060672).

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

84022122122048 is a wasteful number, since it uses less digits than its factorization.

84022122122048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 84022122122048 in words is "eighty-four trillion, twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, forty-eight".