84225468600 has 1920 divisors, whose sum is σ = 395241369600. Its totient is φ = 16124313600.

The previous prime is 84225468563. The next prime is 84225468611. The reversal of 84225468600 is 686452248.

84225468600 is a `hidden beast` number, since 8 + 4 + 22 + 546 + 86 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 868303752 + ... + 868303848.

It is an arithmetic number, because the mean of its divisors is an integer number (205854880).

Almost surely, 2^84225468600 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 84225468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197620684800).

84225468600 is an abundant number, since it is smaller than the sum of its proper divisors (311015901000).

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

84225468600 is a wasteful number, since it uses less digits than its factorization.

84225468600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84225468600 in words is "eighty-four billion, two hundred twenty-five million, four hundred sixty-eight thousand, six hundred".