345601661850 has 192 divisors, whose sum is σ = 1025762918400. Its totient is φ = 85279158720.

The previous prime is 345601661813. The next prime is 345601661863. The reversal of 345601661850 is 58166106543.

345601661850 is a `hidden beast` number, since 3 + 4 + 560 + 1 + 6 + 6 + 1 + 85 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 345601661796 and 345601661805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 946279 + ... + 1259621.

It is an arithmetic number, because the mean of its divisors is an integer number (5342515200).

Almost surely, 2^345601661850 is an apocalyptic number.

345601661850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345601661850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512881459200).

345601661850 is an abundant number, since it is smaller than the sum of its proper divisors (680161256550).

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

345601661850 is a wasteful number, since it uses less digits than its factorization.

345601661850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313426 (or 313415 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 345601661850 in words is "three hundred forty-five billion, six hundred one million, six hundred sixty-one thousand, eight hundred fifty".