84270181220352 has 2048 divisors, whose sum is σ = 289905868800000. Its totient is φ = 24048398499840.

The previous prime is 84270181220209. The next prime is 84270181220363. The reversal of 84270181220352 is 25302218107248.

84270181220352 is a `hidden beast` number, since 8 + 4 + 2 + 70 + 1 + 8 + 1 + 220 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a junction number, because it is equal to n+sod(n) for n = 84270181220298 and 84270181220307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 946855968724 + ... + 946855968812.

It is an arithmetic number, because the mean of its divisors is an integer number (141555600000).

Almost surely, 2^{84270181220352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84270181220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144952934400000).

84270181220352 is an abundant number, since it is smaller than the sum of its proper divisors (205635687579648).

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

84270181220352 is a wasteful number, since it uses less digits than its factorization.

84270181220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 84270181220352 in words is "eighty-four trillion, two hundred seventy billion, one hundred eighty-one million, two hundred twenty thousand, three hundred fifty-two".