84215155949568 has 576 divisors, whose sum is σ = 293487442531920. Its totient is φ = 24061361651712.

The previous prime is 84215155949549. The next prime is 84215155949593. The reversal of 84215155949568 is 86594955151248.

It is a happy number.

84215155949568 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 5 + 1 + 5 + 59 + 4 + 9 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×84215155949568³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 84215155949496 and 84215155949505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390060655 + ... + 390276497.

Almost surely, 2^{84215155949568} 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 84215155949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146743721265960).

84215155949568 is an abundant number, since it is smaller than the sum of its proper divisors (209272286582352).

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

84215155949568 is an frugal number, since it uses more digits than its factorization.

84215155949568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215902 (or 215855 counting only the distinct ones).

The product of its digits is 622080000, while the sum is 72.

The spelling of 84215155949568 in words is "eighty-four trillion, two hundred fifteen billion, one hundred fifty-five million, nine hundred forty-nine thousand, five hundred sixty-eight".