334001248896 has 192 divisors, whose sum is σ = 1077086364480. Its totient is φ = 89815252992.

The previous prime is 334001248891. The next prime is 334001248927. The reversal of 334001248896 is 698842100433.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×334001248896² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (334001248891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561856 + ... + 991808.

It is an arithmetic number, because the mean of its divisors is an integer number (5609824815).

Almost surely, 2^334001248896 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 334001248896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538543182240).

334001248896 is an abundant number, since it is smaller than the sum of its proper divisors (743085115584).

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

334001248896 is a wasteful number, since it uses less digits than its factorization.

334001248896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430011 (or 429982 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 334001248896 in words is "three hundred thirty-four billion, one million, two hundred forty-eight thousand, eight hundred ninety-six".