434878648608 has 96 divisors (see below), whose sum is σ = 1154542237632. Its totient is φ = 143316992000.

The previous prime is 434878648597. The next prime is 434878648637. The reversal of 434878648608 is 806846878434.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4300063 + ... + 4400033.

It is an arithmetic number, because the mean of its divisors is an integer number (12026481642).

Almost surely, 2^434878648608 is an apocalyptic number.

434878648608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434878648608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577271118816).

434878648608 is an abundant number, since it is smaller than the sum of its proper divisors (719663589024).

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

434878648608 is a wasteful number, since it uses less digits than its factorization.

434878648608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100498 (or 100490 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 66.

The spelling of 434878648608 in words is "four hundred thirty-four billion, eight hundred seventy-eight million, six hundred forty-eight thousand, six hundred eight".