344131551553104 has 240 divisors, whose sum is σ = 1108659046418560. Its totient is φ = 97610144808960.

The previous prime is 344131551552989. The next prime is 344131551553121. The reversal of 344131551553104 is 401355155131443.

344131551553104 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 31 + 5 + 51 + 553 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 344131551553104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2723854224 + ... + 2723980560.

Almost surely, 2^{344131551553104} 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 344131551553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554329523209280).

344131551553104 is an abundant number, since it is smaller than the sum of its proper divisors (764527494865456).

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

344131551553104 is a wasteful number, since it uses less digits than its factorization.

344131551553104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145938 (or 145929 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 344131551553104 in words is "three hundred forty-four trillion, one hundred thirty-one billion, five hundred fifty-one million, five hundred fifty-three thousand, one hundred four".