434706915264 has 168 divisors, whose sum is σ = 1173491564112. Its totient is φ = 142007500800.

The previous prime is 434706915263. The next prime is 434706915277. The reversal of 434706915264 is 462519607434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434706915263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205728672 + ... + 205730784.

It is an arithmetic number, because the mean of its divisors is an integer number (6985068834).

Almost surely, 2^434706915264 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 434706915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586745782056).

434706915264 is an abundant number, since it is smaller than the sum of its proper divisors (738784648848).

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

434706915264 is a wasteful number, since it uses less digits than its factorization.

434706915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 434706915264 in words is "four hundred thirty-four billion, seven hundred six million, nine hundred fifteen thousand, two hundred sixty-four".