345611454333420 has 288 divisors, whose sum is σ = 1069721495377920. Its totient is φ = 83310051686400.

The previous prime is 345611454333419. The next prime is 345611454333427. The reversal of 345611454333420 is 24333454116543.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 345611454333420.

It is not an unprimeable number, because it can be changed into a prime (345611454333427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1152876069 + ... + 1153175811.

It is an arithmetic number, because the mean of its divisors is an integer number (3714310747840).

Almost surely, 2^{345611454333420} is an apocalyptic number.

345611454333420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345611454333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534860747688960).

345611454333420 is an abundant number, since it is smaller than the sum of its proper divisors (724110041044500).

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

345611454333420 is a wasteful number, since it uses less digits than its factorization.

345611454333420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300677 (or 300664 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 345611454333420 in words is "three hundred forty-five trillion, six hundred eleven billion, four hundred fifty-four million, three hundred thirty-three thousand, four hundred twenty".