434699114304 has 336 divisors, whose sum is σ = 1474362149568. Its totient is φ = 111978381312.

The previous prime is 434699114303. The next prime is 434699114309. The reversal of 434699114304 is 403411996434.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434699114303) 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, 5217744 + ... + 5300400.

It is an arithmetic number, because the mean of its divisors is an integer number (4387982588).

Almost surely, 2^434699114304 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 434699114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737181074784).

434699114304 is an abundant number, since it is smaller than the sum of its proper divisors (1039663035264).

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

434699114304 is a wasteful number, since it uses less digits than its factorization.

434699114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82742 (or 82725 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 434699114304 in words is "four hundred thirty-four billion, six hundred ninety-nine million, one hundred fourteen thousand, three hundred four".