119346361344 has 528 divisors, whose sum is σ = 412014919680. Its totient is φ = 32556072960.

The previous prime is 119346361333. The next prime is 119346361361. The reversal of 119346361344 is 443163643911.

119346361344 is a `hidden beast` number, since 1 + 1 + 9 + 3 + 4 + 636 + 1 + 3 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 119346361344.

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, 165989017 + ... + 165989735.

Almost surely, 2^119346361344 is an apocalyptic number.

119346361344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119346361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206007459840).

119346361344 is an abundant number, since it is smaller than the sum of its proper divisors (292668558336).

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

119346361344 is a wasteful number, since it uses less digits than its factorization.

119346361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

It can be divided in two parts, 119346 and 361344, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 119346361344 in words is "one hundred nineteen billion, three hundred forty-six million, three hundred sixty-one thousand, three hundred forty-four".