344495088903168 has 5632 divisors, whose sum is σ = 1410811527168000. Its totient is φ = 83433648291840.

The previous prime is 344495088903149. The next prime is 344495088903197. The reversal of 344495088903168 is 861309880594443.

344495088903168 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 9 + 508 + 89 + 0 + 31 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 344495088903096 and 344495088903105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 9310678078446 + ... + 9310678078482.

Almost surely, 2^{344495088903168} 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 344495088903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705405763584000).

344495088903168 is an abundant number, since it is smaller than the sum of its proper divisors (1066316438264832).

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

344495088903168 is an equidigital number, since it uses as much as digits as its factorization.

344495088903168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 344495088903168 in words is "three hundred forty-four trillion, four hundred ninety-five billion, eighty-eight million, nine hundred three thousand, one hundred sixty-eight".