434385616896 has 1152 divisors, whose sum is σ = 1653419738880. Its totient is φ = 107442339840.

The previous prime is 434385616879. The next prime is 434385616901. The reversal of 434385616896 is 698616583434.

434385616896 is a `hidden beast` number, since 4 + 3 + 4 + 3 + 8 + 5 + 616 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×434385616896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9242247145 + ... + 9242247191.

It is an arithmetic number, because the mean of its divisors is an integer number (1435260190).

Almost surely, 2^434385616896 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 434385616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826709869440).

434385616896 is an abundant number, since it is smaller than the sum of its proper divisors (1219034121984).

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

434385616896 is a wasteful number, since it uses less digits than its factorization.

434385616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 434385616896 in words is "four hundred thirty-four billion, three hundred eighty-five million, six hundred sixteen thousand, eight hundred ninety-six".