350705399814 has 384 divisors, whose sum is σ = 998480071680. Its totient is φ = 90415828800.

The previous prime is 350705399797. The next prime is 350705399819. The reversal of 350705399814 is 418993507053.

350705399814 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 0 + 539 + 98 + 14 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350705399819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 670564557 + ... + 670565079.

It is an arithmetic number, because the mean of its divisors is an integer number (2600208520).

Almost surely, 2^350705399814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350705399814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499240035840).

350705399814 is an abundant number, since it is smaller than the sum of its proper divisors (647774671866).

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

350705399814 is a wasteful number, since it uses less digits than its factorization.

350705399814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 350705399814 in words is "three hundred fifty billion, seven hundred five million, three hundred ninety-nine thousand, eight hundred fourteen".