345765419944 has 256 divisors, whose sum is σ = 821145600000. Its totient is φ = 133258245120.

The previous prime is 345765419941. The next prime is 345765419959. The reversal of 345765419944 is 449914567543.

Its product of digits (65318400) is a multiple of the sum of its prime factors (1728).

It is not an unprimeable number, because it can be changed into a prime (345765419941) 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, 230663307 + ... + 230664805.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600000).

Almost surely, 2^345765419944 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 345765419944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410572800000).

345765419944 is an abundant number, since it is smaller than the sum of its proper divisors (475380180056).

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

345765419944 is a wasteful number, since it uses less digits than its factorization.

345765419944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 61.

The spelling of 345765419944 in words is "three hundred forty-five billion, seven hundred sixty-five million, four hundred nineteen thousand, nine hundred forty-four".