349121863148808 has 64 divisors (see below), whose sum is σ = 924148383485760. Its totient is φ = 109528158007296.

The previous prime is 349121863148801. The next prime is 349121863148827. The reversal of 349121863148808 is 808841368121943.

It is a Cunningham number, because it is equal to 18684803²-1.

It is not an unprimeable number, because it can be changed into a prime (349121863148801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223439091 + ... + 224996157.

It is an arithmetic number, because the mean of its divisors is an integer number (14439818491965).

Almost surely, 2^{349121863148808} is an apocalyptic number.

It is an amenable number.

349121863148808 is an abundant number, since it is smaller than the sum of its proper divisors (575026520336952).

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

349121863148808 is a wasteful number, since it uses less digits than its factorization.

349121863148808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106646 (or 2106642 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 66.

The spelling of 349121863148808 in words is "three hundred forty-nine trillion, one hundred twenty-one billion, eight hundred sixty-three million, one hundred forty-eight thousand, eight hundred eight".