84458235840 has 448 divisors, whose sum is σ = 320440872960. Its totient is φ = 18604687360.

The previous prime is 84458235839. The next prime is 84458235887. The reversal of 84458235840 is 4853285448.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5197969 + ... + 5214191.

Almost surely, 2^84458235840 is an apocalyptic number.

84458235840 is a gapful number since it is divisible by the number (80) 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 84458235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220436480).

84458235840 is an abundant number, since it is smaller than the sum of its proper divisors (235982637120).

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

84458235840 is a wasteful number, since it uses less digits than its factorization.

84458235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16300 (or 16290 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 51.

The spelling of 84458235840 in words is "eighty-four billion, four hundred fifty-eight million, two hundred thirty-five thousand, eight hundred forty".