84531512048256 has 2400 divisors, whose sum is σ = 323400424612320. Its totient is φ = 21902356869120.

The previous prime is 84531512048227. The next prime is 84531512048273. The reversal of 84531512048256 is 65284021513548.

84531512048256 is a `hidden beast` number, since 8 + 4 + 5 + 3 + 151 + 2 + 0 + 482 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 298697922291 + ... + 298697922573.

Almost surely, 2^{84531512048256} 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 84531512048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161700212306160).

84531512048256 is an abundant number, since it is smaller than the sum of its proper divisors (238868912564064).

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

84531512048256 is an equidigital number, since it uses as much as digits as its factorization.

84531512048256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 84531512048256 in words is "eighty-four trillion, five hundred thirty-one billion, five hundred twelve million, forty-eight thousand, two hundred fifty-six".