350644245331968 has 512 divisors, whose sum is σ = 1225650878976000. Its totient is φ = 96952272814080.

The previous prime is 350644245331957. The next prime is 350644245331997. The reversal of 350644245331968 is 869133542446053.

350644245331968 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 4 + 4 + 2 + 4 + 533 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191074518 + ... + 192900906.

It is an arithmetic number, because the mean of its divisors is an integer number (2393849373000).

Almost surely, 2^{350644245331968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350644245331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612825439488000).

350644245331968 is an abundant number, since it is smaller than the sum of its proper divisors (875006633644032).

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

350644245331968 is an equidigital number, since it uses as much as digits as its factorization.

350644245331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826466 (or 1826432 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 350644245331968 in words is "three hundred fifty trillion, six hundred forty-four billion, two hundred forty-five million, three hundred thirty-one thousand, nine hundred sixty-eight".