350362146816 has 768 divisors, whose sum is σ = 1238611046400. Its totient is φ = 96613171200.

The previous prime is 350362146787. The next prime is 350362146817. The reversal of 350362146816 is 618641263053.

350362146816 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 621 + 4 + 6 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350362146817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 320550366 + ... + 320551458.

It is an arithmetic number, because the mean of its divisors is an integer number (1612774800).

Almost surely, 2^350362146816 is an apocalyptic number.

350362146816 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 350362146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619305523200).

350362146816 is an abundant number, since it is smaller than the sum of its proper divisors (888248899584).

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

350362146816 is a wasteful number, since it uses less digits than its factorization.

350362146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 350362146816 in words is "three hundred fifty billion, three hundred sixty-two million, one hundred forty-six thousand, eight hundred sixteen".