334051428483072 has 1440 divisors, whose sum is σ = 1128750905318400. Its totient is φ = 94481311334400.

The previous prime is 334051428483037. The next prime is 334051428483107. The reversal of 334051428483072 is 270384824150433.

334051428483072 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 51 + 4 + 284 + 8 + 307 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (334051428483037) and next prime (334051428483107).

It is a super-2 number, since 2×334051428483072² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90065090754 + ... + 90065094462.

It is an arithmetic number, because the mean of its divisors is an integer number (783854795360).

Almost surely, 2^{334051428483072} is an apocalyptic number.

334051428483072 is a gapful number since it is divisible by the number (32) 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 334051428483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564375452659200).

334051428483072 is an abundant number, since it is smaller than the sum of its proper divisors (794699476835328).

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

334051428483072 is a wasteful number, since it uses less digits than its factorization.

334051428483072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 334051428483072 in words is "three hundred thirty-four trillion, fifty-one billion, four hundred twenty-eight million, four hundred eighty-three thousand, seventy-two".