434306600046 has 96 divisors (see below), whose sum is σ = 1036411608960. Its totient is φ = 130347403200.

The previous prime is 434306600041. The next prime is 434306600059. The reversal of 434306600046 is 640006603434.

434306600046 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 0 + 6 + 600 + 0 + 46 = 666.

434306600046 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434306600041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11568021 + ... + 11605503.

It is an arithmetic number, because the mean of its divisors is an integer number (10795954260).

Almost surely, 2^434306600046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434306600046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518205804480).

434306600046 is an abundant number, since it is smaller than the sum of its proper divisors (602105008914).

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

434306600046 is a wasteful number, since it uses less digits than its factorization.

434306600046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38062 (or 38059 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 434306600046 in words is "four hundred thirty-four billion, three hundred six million, six hundred thousand, forty-six".