345846178689440 has 384 divisors, whose sum is σ = 970857686937600. Its totient is φ = 114770578083840.

The previous prime is 345846178689439. The next prime is 345846178689443. The reversal of 345846178689440 is 44986871648543.

It is not an unprimeable number, because it can be changed into a prime (345846178689443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 759868979 + ... + 760323981.

It is an arithmetic number, because the mean of its divisors is an integer number (2528275226400).

Almost surely, 2^{345846178689440} 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 345846178689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485428843468800).

345846178689440 is an abundant number, since it is smaller than the sum of its proper divisors (625011508248160).

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

345846178689440 is a wasteful number, since it uses less digits than its factorization.

345846178689440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455420 (or 455412 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 77.

The spelling of 345846178689440 in words is "three hundred forty-five trillion, eight hundred forty-six billion, one hundred seventy-eight million, six hundred eighty-nine thousand, four hundred forty".