349803884106144 has 72 divisors (see below), whose sum is σ = 1071274395086532. Its totient is φ = 107631964339200.

The previous prime is 349803884106143. The next prime is 349803884106181. The reversal of 349803884106144 is 441601488308943.

349803884106144 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 0 + 3 + 8 + 8 + 4 + 1 + 0 + 614 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289048282016400 + 60755602089744 = 17001420^2 + 7794588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (349803884106143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46715258557 + ... + 46715266044.

Almost surely, 2^{349803884106144} is an apocalyptic number.

It is an amenable number.

349803884106144 is an abundant number, since it is smaller than the sum of its proper divisors (721470510980388).

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

349803884106144 is a wasteful number, since it uses less digits than its factorization.

349803884106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93430524630 (or 93430524619 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 349803884106144 in words is "three hundred forty-nine trillion, eight hundred three billion, eight hundred eighty-four million, one hundred six thousand, one hundred forty-four".