345481575768 has 144 divisors (see below), whose sum is σ = 1079847259920. Its totient is φ = 97749168768.

The previous prime is 345481575767. The next prime is 345481575781. The reversal of 345481575768 is 867575184543.

It is a happy number.

345481575768 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 8 + 1 + 57 + 576 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345481575763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5314630 + ... + 5379242.

It is an arithmetic number, because the mean of its divisors is an integer number (7498939305).

Almost surely, 2^345481575768 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 345481575768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539923629960).

345481575768 is an abundant number, since it is smaller than the sum of its proper divisors (734365684152).

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

345481575768 is a wasteful number, since it uses less digits than its factorization.

345481575768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64838 (or 64728 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 345481575768 in words is "three hundred forty-five billion, four hundred eighty-one million, five hundred seventy-five thousand, seven hundred sixty-eight".