435384016656 has 80 divisors (see below), whose sum is σ = 1143487288320. Its totient is φ = 142710543360.

The previous prime is 435384016633. The next prime is 435384016657. The reversal of 435384016656 is 656610483534.

It is a junction number, because it is equal to n+sod(n) for n = 435384016599 and 435384016608.

It is not an unprimeable number, because it can be changed into a prime (435384016657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12159676 + ... + 12195428.

It is an arithmetic number, because the mean of its divisors is an integer number (14293591104).

Almost surely, 2^435384016656 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 435384016656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571743644160).

435384016656 is an abundant number, since it is smaller than the sum of its proper divisors (708103271664).

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

435384016656 is a wasteful number, since it uses less digits than its factorization.

435384016656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39984 (or 39978 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 435384016656 in words is "four hundred thirty-five billion, three hundred eighty-four million, sixteen thousand, six hundred fifty-six".