8214102225450 has 1440 divisors, whose sum is σ = 27864436615488. Its totient is φ = 1776660480000.

The previous prime is 8214102225443. The next prime is 8214102225491. The reversal of 8214102225450 is 545222014128.

8214102225450 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 102 + 2 + 2 + 545 + 0 = 666.

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 719 ways as a sum of consecutive naturals, for example, 20484045250 + ... + 20484045650.

Almost surely, 2^{8214102225450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214102225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932218307744).

8214102225450 is an abundant number, since it is smaller than the sum of its proper divisors (19650334390038).

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

8214102225450 is a wasteful number, since it uses less digits than its factorization.

8214102225450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 8214102225450 its reverse (545222014128), we get a palindrome (8759324239578).

The spelling of 8214102225450 in words is "eight trillion, two hundred fourteen billion, one hundred two million, two hundred twenty-five thousand, four hundred fifty".