354428371152 has 120 divisors (see below), whose sum is σ = 1016664929280. Its totient is φ = 115225528320.

The previous prime is 354428371147. The next prime is 354428371169. The reversal of 354428371152 is 251173824453.

354428371152 is a `hidden beast` number, since 3 + 5 + 4 + 428 + 3 + 71 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 354428371098 and 354428371107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914752 + ... + 1243232.

It is an arithmetic number, because the mean of its divisors is an integer number (8472207744).

Almost surely, 2^354428371152 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 354428371152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508332464640).

354428371152 is an abundant number, since it is smaller than the sum of its proper divisors (662236558128).

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

354428371152 is a wasteful number, since it uses less digits than its factorization.

354428371152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328681 (or 328672 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 354428371152 in words is "three hundred fifty-four billion, four hundred twenty-eight million, three hundred seventy-one thousand, one hundred fifty-two".