84648984966333 has 96 divisors (see below), whose sum is σ = 125056466196480. Its totient is φ = 55164973441920.

The previous prime is 84648984966319. The next prime is 84648984966367. The reversal of 84648984966333 is 33366948984648.

84648984966333 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 8 + 98 + 496 + 6 + 3 + 33 = 666.

It is not a de Polignac number, because 84648984966333 - 2¹⁰ = 84648984965309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84648984966313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48845345335 + ... + 48845347067.

It is an arithmetic number, because the mean of its divisors is an integer number (1302671522880).

Almost surely, 2^{84648984966333} is an apocalyptic number.

84648984966333 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

84648984966333 is a deficient number, since it is larger than the sum of its proper divisors (40407481230147).

84648984966333 is a wasteful number, since it uses less digits than its factorization.

84648984966333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3556 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 81.

The spelling of 84648984966333 in words is "eighty-four trillion, six hundred forty-eight billion, nine hundred eighty-four million, nine hundred sixty-six thousand, three hundred thirty-three".