4298013134688 has 768 divisors, whose sum is σ = 14628219217920. Its totient is φ = 1074524258304.

The previous prime is 4298013134633. The next prime is 4298013134713. The reversal of 4298013134688 is 8864313108924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5677692006 + ... + 5677692762.

It is an arithmetic number, because the mean of its divisors is an integer number (19047160440).

Almost surely, 2^{4298013134688} is an apocalyptic number.

4298013134688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4298013134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7314109608960).

4298013134688 is an abundant number, since it is smaller than the sum of its proper divisors (10330206083232).

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

4298013134688 is a wasteful number, since it uses less digits than its factorization.

4298013134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 4298013134688 in words is "four trillion, two hundred ninety-eight billion, thirteen million, one hundred thirty-four thousand, six hundred eighty-eight".