84531925152 has 288 divisors, whose sum is σ = 252299423376. Its totient is φ = 26821017600.

The previous prime is 84531925123. The next prime is 84531925171. The reversal of 84531925152 is 25152913548.

84531925152 is a `hidden beast` number, since 8 + 45 + 3 + 1 + 92 + 515 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 43632525456 + 40899399696 = 208884^2 + 202236^2 .

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (432000) is a multiple of the sum of its prime factors (864).

It is a junction number, because it is equal to n+sod(n) for n = 84531925098 and 84531925107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183366202 + ... + 183366662.

Almost surely, 2^84531925152 is an apocalyptic number.

84531925152 is a gapful number since it is divisible by the number (82) 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 84531925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126149711688).

84531925152 is an abundant number, since it is smaller than the sum of its proper divisors (167767498224).

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

84531925152 is a wasteful number, since it uses less digits than its factorization.

84531925152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 84531925152 in words is "eighty-four billion, five hundred thirty-one million, nine hundred twenty-five thousand, one hundred fifty-two".