84064255246048 has 192 divisors, whose sum is σ = 223805871023616. Its totient is φ = 30073853952000.

The previous prime is 84064255246043. The next prime is 84064255246051.

84064255246048 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84064255245983 and 84064255246001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84064255246043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22756758 + ... + 26191573.

It is an arithmetic number, because the mean of its divisors is an integer number (1165655578248).

Almost surely, 2^{84064255246048} is an apocalyptic number.

84064255246048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84064255246048 is an abundant number, since it is smaller than the sum of its proper divisors (139741615777568).

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

84064255246048 is a wasteful number, since it uses less digits than its factorization.

84064255246048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48948417 (or 48948409 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 58.

The spelling of 84064255246048 in words is "eighty-four trillion, sixty-four billion, two hundred fifty-five million, two hundred forty-six thousand, forty-eight".