344114022310020 has 96 divisors (see below), whose sum is σ = 1072623951450240. Its totient is φ = 91588282727040.

The previous prime is 344114022310013. The next prime is 344114022310027. The reversal of 344114022310020 is 20013220411443.

344114022310020 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 1 + 402 + 231 + 0 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (344114022310013) and next prime (344114022310027).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (344114022310027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608941471 + ... + 609506310.

It is an arithmetic number, because the mean of its divisors is an integer number (11173166160940).

Almost surely, 2^{344114022310020} is an apocalyptic number.

344114022310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344114022310020 is an abundant number, since it is smaller than the sum of its proper divisors (728509929140220).

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

344114022310020 is a wasteful number, since it uses less digits than its factorization.

344114022310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218448322 (or 1218448314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344114022310020 its reverse (20013220411443), we get a palindrome (364127242721463).

The spelling of 344114022310020 in words is "three hundred forty-four trillion, one hundred fourteen billion, twenty-two million, three hundred ten thousand, twenty".