2354828366016 has 672 divisors, whose sum is σ = 8504875072512. Its totient is φ = 630639820800.

The previous prime is 2354828365963. The next prime is 2354828366017. The reversal of 2354828366016 is 6106638284532.

2354828366016 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 8 + 28 + 3 + 6 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (2354828366017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475624341 + ... + 475629291.

It is an arithmetic number, because the mean of its divisors is an integer number (12656064096).

Almost surely, 2^{2354828366016} 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 2354828366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252437536256).

2354828366016 is an abundant number, since it is smaller than the sum of its proper divisors (6150046706496).

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

2354828366016 is a wasteful number, since it uses less digits than its factorization.

2354828366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2354828366016 in words is "two trillion, three hundred fifty-four billion, eight hundred twenty-eight million, three hundred sixty-six thousand, sixteen".