334290035745216 has 280 divisors, whose sum is σ = 1025789876828640. Its totient is φ = 107516321740800.

The previous prime is 334290035745157. The next prime is 334290035745287. The reversal of 334290035745216 is 612547530092433.

334290035745216 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 9 + 0 + 0 + 3 + 574 + 52 + 16 = 666.

It is a super-2 number, since 2×334290035745216² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 226421886 + ... + 227893506.

It is an arithmetic number, because the mean of its divisors is an integer number (3663535274388).

Almost surely, 2^{334290035745216} is an apocalyptic number.

334290035745216 is a gapful number since it is divisible by the number (36) 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 334290035745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512894938414320).

334290035745216 is an abundant number, since it is smaller than the sum of its proper divisors (691499841083424).

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

334290035745216 is a wasteful number, since it uses less digits than its factorization.

334290035745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473185 (or 1473166 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 334290035745216 in words is "three hundred thirty-four trillion, two hundred ninety billion, thirty-five million, seven hundred forty-five thousand, two hundred sixteen".