84122555522148 has 288 divisors, whose sum is σ = 261701740473600. Its totient is φ = 23208441822720.

The previous prime is 84122555522147. The next prime is 84122555522149.

84122555522148 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 25 + 5 + 552 + 21 + 48 = 666.

84122555522148 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84122555522147) and next prime (84122555522149).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84122555522094 and 84122555522103.

It is not an unprimeable number, because it can be changed into a prime (84122555522147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9009913 + ... + 15793151.

Almost surely, 2^{84122555522148} 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 84122555522148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130850870236800).

84122555522148 is an abundant number, since it is smaller than the sum of its proper divisors (177579184951452).

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

84122555522148 is a wasteful number, since it uses less digits than its factorization.

84122555522148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783360 (or 6783341 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 54.

The spelling of 84122555522148 in words is "eighty-four trillion, one hundred twenty-two billion, five hundred fifty-five million, five hundred twenty-two thousand, one hundred forty-eight".