84906512216064 has 1664 divisors, whose sum is σ = 339153636556800. Its totient is φ = 20313113886720.

The previous prime is 84906512216051. The next prime is 84906512216083. The reversal of 84906512216064 is 46061221560948.

It is a happy number.

84906512216064 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 6 + 5 + 1 + 2 + 21 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84906512216064.

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 127 ways as a sum of consecutive naturals, for example, 6803945377 + ... + 6803957855.

It is an arithmetic number, because the mean of its divisors is an integer number (203818291200).

Almost surely, 2^{84906512216064} is an apocalyptic number.

84906512216064 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84906512216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169576818278400).

84906512216064 is an abundant number, since it is smaller than the sum of its proper divisors (254247124340736).

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

84906512216064 is a wasteful number, since it uses less digits than its factorization.

84906512216064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 84906512216064 in words is "eighty-four trillion, nine hundred six billion, five hundred twelve million, two hundred sixteen thousand, sixty-four".