344857004118 has 192 divisors, whose sum is σ = 853752856320. Its totient is φ = 103463568000.

The previous prime is 344857004047. The next prime is 344857004153. The reversal of 344857004118 is 811400758443.

344857004118 is a `hidden beast` number, since 34 + 4 + 8 + 570 + 0 + 41 + 1 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 265070068 + ... + 265071368.

It is an arithmetic number, because the mean of its divisors is an integer number (4446629460).

Almost surely, 2^344857004118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344857004118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426876428160).

344857004118 is an abundant number, since it is smaller than the sum of its proper divisors (508895852202).

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

344857004118 is a wasteful number, since it uses less digits than its factorization.

344857004118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 344857004118 in words is "three hundred forty-four billion, eight hundred fifty-seven million, four thousand, one hundred eighteen".