334201147128 has 40 divisors (see below), whose sum is σ = 936072659280. Its totient is φ = 111400382160.

The previous prime is 334201147117. The next prime is 334201147129. The reversal of 334201147128 is 821741102433.

334201147128 is a `hidden beast` number, since 33 + 420 + 114 + 71 + 28 = 666.

It is a super-2 number, since 2×334201147128² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334201147092 and 334201147101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334201147129) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 257870608 + ... + 257871903.

It is an arithmetic number, because the mean of its divisors is an integer number (23401816482).

Almost surely, 2^334201147128 is an apocalyptic number.

It is an amenable number.

334201147128 is an abundant number, since it is smaller than the sum of its proper divisors (601871512152).

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

334201147128 is a wasteful number, since it uses less digits than its factorization.

334201147128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515742529 (or 515742516 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 334201147128 in words is "three hundred thirty-four billion, two hundred one million, one hundred forty-seven thousand, one hundred twenty-eight".