84614469120 has 240 divisors, whose sum is σ = 293377003920. Its totient is φ = 22538207232.

The previous prime is 84614469113. The next prime is 84614469161. The reversal of 84614469120 is 2196441648.

84614469120 is a `hidden beast` number, since 8 + 4 + 61 + 4 + 469 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29005902 + ... + 29008818.

It is an arithmetic number, because the mean of its divisors is an integer number (1222404183).

Almost surely, 2^84614469120 is an apocalyptic number.

84614469120 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 84614469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146688501960).

84614469120 is an abundant number, since it is smaller than the sum of its proper divisors (208762534800).

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

84614469120 is a wasteful number, since it uses less digits than its factorization.

84614469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 84614469120 in words is "eighty-four billion, six hundred fourteen million, four hundred sixty-nine thousand, one hundred twenty".