434918854656 has 1040 divisors, whose sum is σ = 1558502225280. Its totient is φ = 119120855040.

The previous prime is 434918854639. The next prime is 434918854681. The reversal of 434918854656 is 656458819434.

434918854656 is a `hidden beast` number, since 4 + 3 + 4 + 9 + 1 + 88 + 546 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 434918854593 and 434918854602.

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 79 ways as a sum of consecutive naturals, for example, 4222513101 + ... + 4222513203.

It is an arithmetic number, because the mean of its divisors is an integer number (1498559832).

Almost surely, 2^434918854656 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 434918854656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779251112640).

434918854656 is an abundant number, since it is smaller than the sum of its proper divisors (1123583370624).

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

434918854656 is a wasteful number, since it uses less digits than its factorization.

434918854656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 434918854656 in words is "four hundred thirty-four billion, nine hundred eighteen million, eight hundred fifty-four thousand, six hundred fifty-six".