350370685604016 has 1280 divisors, whose sum is σ = 1360642199040000. Its totient is φ = 85276544532480.

The previous prime is 350370685603987. The next prime is 350370685604053. The reversal of 350370685604016 is 610406586073053.

350370685604016 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 7 + 0 + 68 + 560 + 4 + 0 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6345313240 + ... + 6345368456.

It is an arithmetic number, because the mean of its divisors is an integer number (1063001718000).

Almost surely, 2^{350370685604016} is an apocalyptic number.

350370685604016 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 350370685604016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680321099520000).

350370685604016 is an abundant number, since it is smaller than the sum of its proper divisors (1010271513435984).

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

350370685604016 is a wasteful number, since it uses less digits than its factorization.

350370685604016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55512 (or 55486 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 350370685604016 in words is "three hundred fifty trillion, three hundred seventy billion, six hundred eighty-five million, six hundred four thousand, sixteen".