434633164416 has 320 divisors, whose sum is σ = 1424034770400. Its totient is φ = 130494965760.

The previous prime is 434633164403. The next prime is 434633164421. The reversal of 434633164416 is 614461336434.

434633164416 is a `hidden beast` number, since 4 + 3 + 4 + 633 + 1 + 6 + 4 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×434633164416² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12413751 + ... + 12448713.

Almost surely, 2^434633164416 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 434633164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712017385200).

434633164416 is an abundant number, since it is smaller than the sum of its proper divisors (989401605984).

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

434633164416 is a wasteful number, since it uses less digits than its factorization.

434633164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35109 (or 35088 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The spelling of 434633164416 in words is "four hundred thirty-four billion, six hundred thirty-three million, one hundred sixty-four thousand, four hundred sixteen".