84435505631232 has 832 divisors, whose sum is σ = 280649973947904. Its totient is φ = 22024122531840.

The previous prime is 84435505631231. The next prime is 84435505631237. The reversal of 84435505631232 is 23213650553448.

It is a super-2 number, since 2×84435505631232² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84435505631231) 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 63 ways as a sum of consecutive naturals, for example, 19098732382 + ... + 19098736802.

Almost surely, 2^{84435505631232} 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 84435505631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140324986973952).

84435505631232 is an abundant number, since it is smaller than the sum of its proper divisors (196214468316672).

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

84435505631232 is a wasteful number, since it uses less digits than its factorization.

84435505631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 51.

The spelling of 84435505631232 in words is "eighty-four trillion, four hundred thirty-five billion, five hundred five million, six hundred thirty-one thousand, two hundred thirty-two".