434188032816 has 160 divisors (see below), whose sum is σ = 1161902776320. Its totient is φ = 139628869632.

The previous prime is 434188032793. The next prime is 434188032833. The reversal of 434188032816 is 618230881434.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61072270 + ... + 61079378.

It is an arithmetic number, because the mean of its divisors is an integer number (7261892352).

Almost surely, 2^434188032816 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 434188032816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580951388160).

434188032816 is an abundant number, since it is smaller than the sum of its proper divisors (727714743504).

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

434188032816 is a wasteful number, since it uses less digits than its factorization.

434188032816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 434188032816 in words is "four hundred thirty-four billion, one hundred eighty-eight million, thirty-two thousand, eight hundred sixteen".