84001222210048 has 320 divisors, whose sum is σ = 204046977657600. Its totient is φ = 34018756853760.

The previous prime is 84001222210043. The next prime is 84001222210051.

84001222210048 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×84001222210048² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84001222209995 and 84001222210022.

It is not an unprimeable number, because it can be changed into a prime (84001222210043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10410359358 + ... + 10410367426.

It is an arithmetic number, because the mean of its divisors is an integer number (637646805180).

Almost surely, 2^{84001222210048} is an apocalyptic number.

84001222210048 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 84001222210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102023488828800).

84001222210048 is an abundant number, since it is smaller than the sum of its proper divisors (120045755447552).

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

84001222210048 is a wasteful number, since it uses less digits than its factorization.

84001222210048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13043 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 84001222210048 in words is "eighty-four trillion, one billion, two hundred twenty-two million, two hundred ten thousand, forty-eight".