84454824960 has 1232 divisors, whose sum is σ = 353755203552. Its totient is φ = 19269550080.

The previous prime is 84454824931. The next prime is 84454824989. The reversal of 84454824960 is 6942845448.

It is a happy number.

84454824960 is a `hidden beast` number, since 8 + 4 + 4 + 548 + 2 + 4 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84454824931) and next prime (84454824989).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 84454824897 and 84454824906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4967930872 + ... + 4967930888.

Almost surely, 2^84454824960 is an apocalyptic number.

84454824960 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 84454824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176877601776).

84454824960 is an abundant number, since it is smaller than the sum of its proper divisors (269300378592).

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

84454824960 is an equidigital number, since it uses as much as digits as its factorization.

84454824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 84454824960 in words is "eighty-four billion, four hundred fifty-four million, eight hundred twenty-four thousand, nine hundred sixty".