345591665874 has 576 divisors, whose sum is σ = 1064028026880. Its totient is φ = 78576168960.

The previous prime is 345591665873. The next prime is 345591665897. The reversal of 345591665874 is 478566195543.

It is a happy number.

345591665874 is a `hidden beast` number, since 3 + 4 + 559 + 1 + 6 + 6 + 5 + 8 + 74 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345591665873) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 311624032 + ... + 311625140.

It is an arithmetic number, because the mean of its divisors is an integer number (1847270880).

Almost surely, 2^345591665874 is an apocalyptic number.

345591665874 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345591665874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532014013440).

345591665874 is an abundant number, since it is smaller than the sum of its proper divisors (718436361006).

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

345591665874 is a wasteful number, since it uses less digits than its factorization.

345591665874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1201 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 345591665874 in words is "three hundred forty-five billion, five hundred ninety-one million, six hundred sixty-five thousand, eight hundred seventy-four".