84499100104320 has 2816 divisors, whose sum is σ = 349698108211200. Its totient is φ = 19337083084800.

The previous prime is 84499100104319. The next prime is 84499100104357. The reversal of 84499100104320 is 2340100199448.

84499100104320 is a `hidden beast` number, since 8 + 4 + 499 + 100 + 10 + 43 + 2 + 0 = 666.

84499100104320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 1018061446999 + ... + 1018061447081.

Almost surely, 2^{84499100104320} is an apocalyptic number.

84499100104320 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 84499100104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174849054105600).

84499100104320 is an abundant number, since it is smaller than the sum of its proper divisors (265199008106880).

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

84499100104320 is an equidigital number, since it uses as much as digits as its factorization.

84499100104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 84499100104320 in words is "eighty-four trillion, four hundred ninety-nine billion, one hundred million, one hundred four thousand, three hundred twenty".