350047881216 has 864 divisors, whose sum is σ = 1179966977280. Its totient is φ = 99753984000.

The previous prime is 350047881179. The next prime is 350047881217. The reversal of 350047881216 is 612188740053.

350047881216 is a `hidden beast` number, since 3 + 50 + 0 + 478 + 8 + 121 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (350047881217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4217444311 + ... + 4217444393.

It is an arithmetic number, because the mean of its divisors is an integer number (1365702520).

Almost surely, 2^350047881216 is an apocalyptic number.

350047881216 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 350047881216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589983488640).

350047881216 is an abundant number, since it is smaller than the sum of its proper divisors (829919096064).

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

350047881216 is a wasteful number, since it uses less digits than its factorization.

350047881216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 350047881216 in words is "three hundred fifty billion, forty-seven million, eight hundred eighty-one thousand, two hundred sixteen".