345604621914 has 64 divisors (see below), whose sum is σ = 813687638400. Its totient is φ = 108358274304.

The previous prime is 345604621891. The next prime is 345604621933. The reversal of 345604621914 is 419126406543.

345604621914 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 0 + 4 + 621 + 9 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 345604621914.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1387777 + ... + 1617755.

It is an arithmetic number, because the mean of its divisors is an integer number (12713869350).

Almost surely, 2^345604621914 is an apocalyptic number.

345604621914 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 345604621914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406843819200).

345604621914 is an abundant number, since it is smaller than the sum of its proper divisors (468083016486).

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

345604621914 is a wasteful number, since it uses less digits than its factorization.

345604621914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231644 (or 231638 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 345604621914 in words is "three hundred forty-five billion, six hundred four million, six hundred twenty-one thousand, nine hundred fourteen".