8221514151228 has 288 divisors, whose sum is σ = 23450130063360. Its totient is φ = 2195624386560.

The previous prime is 8221514151181. The next prime is 8221514151259.

8221514151228 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8221514151228² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8221514151228.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3973664578 + ... + 3973666646.

It is an arithmetic number, because the mean of its divisors is an integer number (81424062720).

Almost surely, 2^{8221514151228} 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 8221514151228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11725065031680).

8221514151228 is an abundant number, since it is smaller than the sum of its proper divisors (15228615912132).

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

8221514151228 is a wasteful number, since it uses less digits than its factorization.

8221514151228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3146 counting only the distinct ones).

The product of its digits is 102400, while the sum is 42.

The spelling of 8221514151228 in words is "eight trillion, two hundred twenty-one billion, five hundred fourteen million, one hundred fifty-one thousand, two hundred twenty-eight".