863524314432 has 504 divisors, whose sum is σ = 2901547745280. Its totient is φ = 251684858880.

The previous prime is 863524314431. The next prime is 863524314461. The reversal of 863524314432 is 234413425368.

863524314432 is a `hidden beast` number, since 8 + 63 + 524 + 31 + 4 + 4 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863524314431) 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 71 ways as a sum of consecutive naturals, for example, 105419457 + ... + 105427647.

Almost surely, 2^863524314432 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 863524314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450773872640).

863524314432 is an abundant number, since it is smaller than the sum of its proper divisors (2038023430848).

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

863524314432 is a wasteful number, since it uses less digits than its factorization.

863524314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8228 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 863524314432 in words is "eight hundred sixty-three billion, five hundred twenty-four million, three hundred fourteen thousand, four hundred thirty-two".