84499914240 has 480 divisors, whose sum is σ = 336437038080. Its totient is φ = 19199803392.

The previous prime is 84499914229. The next prime is 84499914269. The reversal of 84499914240 is 4241999448.

It is a happy number.

84499914240 is a `hidden beast` number, since 8 + 4 + 499 + 9 + 142 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×84499914240³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28867657 + ... + 28870583.

It is an arithmetic number, because the mean of its divisors is an integer number (700910496).

Almost surely, 2^84499914240 is an apocalyptic number.

84499914240 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 84499914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168218519040).

84499914240 is an abundant number, since it is smaller than the sum of its proper divisors (251937123840).

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

84499914240 is a wasteful number, since it uses less digits than its factorization.

84499914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 84499914240 in words is "eighty-four billion, four hundred ninety-nine million, nine hundred fourteen thousand, two hundred forty".