84906198945216 has 392 divisors, whose sum is σ = 278898226113024. Its totient is φ = 25419148669440.

The previous prime is 84906198945193. The next prime is 84906198945229. The reversal of 84906198945216 is 61254989160948.

84906198945216 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 6 + 1 + 9 + 8 + 94 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 41600305 + ... + 43593551.

Almost surely, 2^{84906198945216} 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 84906198945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139449113056512).

84906198945216 is an abundant number, since it is smaller than the sum of its proper divisors (193992027167808).

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

84906198945216 is a wasteful number, since it uses less digits than its factorization.

84906198945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993371 (or 1993346 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 84906198945216 in words is "eighty-four trillion, nine hundred six billion, one hundred ninety-eight million, nine hundred forty-five thousand, two hundred sixteen".