334938830121 has 135 divisors (see below), whose sum is σ = 587822378013. Its totient is φ = 183761207280.

The previous prime is 334938829991. The next prime is 334938830131. The reversal of 334938830121 is 121038839433.

The square root of 334938830121 is 578739.

It is a perfect power (a square), and thus also a powerful number.

334938830121 is a `hidden beast` number, since 3 + 3 + 493 + 8 + 8 + 30 + 121 = 666.

It is not a de Polignac number, because 334938830121 - 2¹³ = 334938821929 is a prime.

It is a super-2 number, since 2×334938830121² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334938830131) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2637313560 + ... + 2637313686.

Almost surely, 2^334938830121 is an apocalyptic number.

334938830121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

334938830121 is the 578739-th square number.

334938830121 is the 289370-th centered octagonal number.

It is an amenable number.

334938830121 is a deficient number, since it is larger than the sum of its proper divisors (252883547892).

334938830121 is an frugal number, since it uses more digits than its factorization.

334938830121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 334938830121 in words is "three hundred thirty-four billion, nine hundred thirty-eight million, eight hundred thirty thousand, one hundred twenty-one".