84046846464 has 240 divisors, whose sum is σ = 280565917632. Its totient is φ = 23723311104.

The previous prime is 84046846459. The next prime is 84046846469. The reversal of 84046846464 is 46464864048.

84046846464 is a `hidden beast` number, since 84 + 0 + 4 + 68 + 46 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (84046846459) and next prime (84046846469).

It is a self number, because there is not a number n which added to its sum of digits gives 84046846464.

It is not an unprimeable number, because it can be changed into a prime (84046846469) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2661552 + ... + 2692944.

Almost surely, 2^84046846464 is an apocalyptic number.

84046846464 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 84046846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140282958816).

84046846464 is an abundant number, since it is smaller than the sum of its proper divisors (196519071168).

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

84046846464 is a wasteful number, since it uses less digits than its factorization.

84046846464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31507 (or 31488 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

It can be divided in two parts, 8404684 and 6464, that added together give a palindrome (8411148).

The spelling of 84046846464 in words is "eighty-four billion, forty-six million, eight hundred forty-six thousand, four hundred sixty-four".