345048383061648 has 600 divisors, whose sum is σ = 1221482127729600. Its totient is φ = 93579045880320.

The previous prime is 345048383061631. The next prime is 345048383061677. The reversal of 345048383061648 is 846160383840543.

It is a happy number.

345048383061648 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 4 + 8 + 3 + 8 + 3 + 0 + 616 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 190435878 + ... + 192239226.

It is an arithmetic number, because the mean of its divisors is an integer number (2035803546216).

Almost surely, 2^{345048383061648} 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 345048383061648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610741063864800).

345048383061648 is an abundant number, since it is smaller than the sum of its proper divisors (876433744667952).

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

345048383061648 is a wasteful number, since it uses less digits than its factorization.

345048383061648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803537 (or 1803515 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 345048383061648 in words is "three hundred forty-five trillion, forty-eight billion, three hundred eighty-three million, sixty-one thousand, six hundred forty-eight".