344097214470144 has 384 divisors, whose sum is σ = 1041948332006400. Its totient is φ = 112154846330880.

The previous prime is 344097214470131. The next prime is 344097214470197. The reversal of 344097214470144 is 441074412790443.

344097214470144 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 9 + 7 + 21 + 4 + 470 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×344097214470144² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2835352314 + ... + 2835473670.

It is an arithmetic number, because the mean of its divisors is an integer number (2713407114600).

Almost surely, 2^{344097214470144} 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 344097214470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520974166003200).

344097214470144 is an abundant number, since it is smaller than the sum of its proper divisors (697851117536256).

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

344097214470144 is a wasteful number, since it uses less digits than its factorization.

344097214470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122526 (or 122500 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 344097214470144 in words is "three hundred forty-four trillion, ninety-seven billion, two hundred fourteen million, four hundred seventy thousand, one hundred forty-four".