335421221004688 has 400 divisors, whose sum is σ = 860737025304576. Its totient is φ = 125681176212480.

The previous prime is 335421221004643. The next prime is 335421221004733. The reversal of 335421221004688 is 886400122124533.

It is an interprime number because it is at equal distance from previous prime (335421221004643) and next prime (335421221004733).

It is a super-2 number, since 2×335421221004688² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 727406970 + ... + 727867942.

Almost surely, 2^{335421221004688} 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 335421221004688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430368512652288).

335421221004688 is an abundant number, since it is smaller than the sum of its proper divisors (525315804299888).

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

335421221004688 is a wasteful number, since it uses less digits than its factorization.

335421221004688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461100 (or 461073 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 335421221004688 in words is "three hundred thirty-five trillion, four hundred twenty-one billion, two hundred twenty-one million, four thousand, six hundred eighty-eight".