344441214304114 has 128 divisors (see below), whose sum is σ = 578908692472320. Its totient is φ = 152942075596800.

The previous prime is 344441214304093. The next prime is 344441214304123. The reversal of 344441214304114 is 411403412144443.

It is a super-2 number, since 2×344441214304114² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25683478069 + ... + 25683491479.

It is an arithmetic number, because the mean of its divisors is an integer number (4522724159940).

Almost surely, 2^{344441214304114} is an apocalyptic number.

344441214304114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

344441214304114 is a deficient number, since it is larger than the sum of its proper divisors (234467478168206).

344441214304114 is a wasteful number, since it uses less digits than its factorization.

344441214304114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16244.

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 344441214304114 its reverse (411403412144443), we get a palindrome (755844626448557).

The spelling of 344441214304114 in words is "three hundred forty-four trillion, four hundred forty-one billion, two hundred fourteen million, three hundred four thousand, one hundred fourteen".