84618418111920 has 4320 divisors, whose sum is σ = 391820353142400. Its totient is φ = 16337857536000.

The previous prime is 84618418111901. The next prime is 84618418111937. The reversal of 84618418111920 is 2911181481648.

84618418111920 is a `hidden beast` number, since 8 + 4 + 618 + 4 + 1 + 8 + 1 + 1 + 19 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 837806119870 + ... + 837806119970.

It is an arithmetic number, because the mean of its divisors is an integer number (90699155820).

Almost surely, 2^{84618418111920} is an apocalyptic number.

84618418111920 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 84618418111920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195910176571200).

84618418111920 is an abundant number, since it is smaller than the sum of its proper divisors (307201935030480).

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

84618418111920 is a wasteful number, since it uses less digits than its factorization.

84618418111920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The spelling of 84618418111920 in words is "eighty-four trillion, six hundred eighteen billion, four hundred eighteen million, one hundred eleven thousand, nine hundred twenty".