84463515631872 has 1152 divisors, whose sum is σ = 281365624995840. Its totient is φ = 24817508352000.

The previous prime is 84463515631871. The next prime is 84463515631883. The reversal of 84463515631872 is 27813651536448.

84463515631872 is a `hidden beast` number, since 8 + 4 + 4 + 6 + 3 + 51 + 563 + 18 + 7 + 2 = 666.

84463515631872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (84463515631871) by changing a digit.

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, 76995000028 + ... + 76995001124.

It is an arithmetic number, because the mean of its divisors is an integer number (244240993920).

Almost surely, 2^{84463515631872} 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 84463515631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140682812497920).

84463515631872 is an abundant number, since it is smaller than the sum of its proper divisors (196902109363968).

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

84463515631872 is a wasteful number, since it uses less digits than its factorization.

84463515631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1488 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 84463515631872 in words is "eighty-four trillion, four hundred sixty-three billion, five hundred fifteen million, six hundred thirty-one thousand, eight hundred seventy-two".