84144499246080 has 2816 divisors, whose sum is σ = 406658725724160. Its totient is φ = 15981814480896.

The previous prime is 84144499246079. The next prime is 84144499246081. The reversal of 84144499246080 is 8064299444148.

84144499246080 is a `hidden beast` number, since 8 + 4 + 1 + 4 + 4 + 4 + 9 + 92 + 460 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (84144499246079) and next prime (84144499246081).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 84144499245999 and 84144499246017.

It is not an unprimeable number, because it can be changed into a prime (84144499246081) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4918708887 + ... + 4918725993.

Almost surely, 2^{84144499246080} is an apocalyptic number.

84144499246080 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 84144499246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203329362862080).

84144499246080 is an abundant number, since it is smaller than the sum of its proper divisors (322514226478080).

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

84144499246080 is a wasteful number, since it uses less digits than its factorization.

84144499246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17201 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 84144499246080 in words is "eighty-four trillion, one hundred forty-four billion, four hundred ninety-nine million, two hundred forty-six thousand, eighty".