354985099776 has 240 divisors, whose sum is σ = 1118382064800. Its totient is φ = 112099811328.

The previous prime is 354985099741. The next prime is 354985099801. The reversal of 354985099776 is 677990589453.

354985099776 is a `hidden beast` number, since 3 + 5 + 49 + 8 + 509 + 9 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2288820 + ... + 2438988.

It is an arithmetic number, because the mean of its divisors is an integer number (4659925270).

Almost surely, 2^354985099776 is an apocalyptic number.

354985099776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354985099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559191032400).

354985099776 is an abundant number, since it is smaller than the sum of its proper divisors (763396965024).

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

354985099776 is an equidigital number, since it uses as much as digits as its factorization.

354985099776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150221 (or 150193 counting only the distinct ones).

The product of its (nonzero) digits is 514382400, while the sum is 72.

The spelling of 354985099776 in words is "three hundred fifty-four billion, nine hundred eighty-five million, ninety-nine thousand, seven hundred seventy-six".