344939949144 has 256 divisors, whose sum is σ = 1115130240000. Its totient is φ = 96751438848.

The previous prime is 344939949041. The next prime is 344939949223. The reversal of 344939949144 is 441949939443.

344939949144 is a `hidden beast` number, since 3 + 4 + 493 + 99 + 49 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 78233212 + ... + 78237620.

It is an arithmetic number, because the mean of its divisors is an integer number (4355977500).

Almost surely, 2^344939949144 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 344939949144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557565120000).

344939949144 is an abundant number, since it is smaller than the sum of its proper divisors (770190290856).

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

344939949144 is a wasteful number, since it uses less digits than its factorization.

344939949144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5357 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 344939949144 in words is "three hundred forty-four billion, nine hundred thirty-nine million, nine hundred forty-nine thousand, one hundred forty-four".