84216250368 has 288 divisors, whose sum is σ = 254802996000. Its totient is φ = 27481079808.

The previous prime is 84216250333. The next prime is 84216250379. The reversal of 84216250368 is 86305261248.

84216250368 is a `hidden beast` number, since 8 + 4 + 21 + 62 + 503 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187563808 + ... + 187564256.

It is an arithmetic number, because the mean of its divisors is an integer number (884732625).

Almost surely, 2^84216250368 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 84216250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127401498000).

84216250368 is an abundant number, since it is smaller than the sum of its proper divisors (170586745632).

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

84216250368 is an frugal number, since it uses more digits than its factorization.

84216250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 84216250368 in words is "eighty-four billion, two hundred sixteen million, two hundred fifty thousand, three hundred sixty-eight".