345423654688 has 96 divisors (see below), whose sum is σ = 819313367040. Its totient is φ = 140040679680.

The previous prime is 345423654677. The next prime is 345423654689. The reversal of 345423654688 is 886456324543.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (345423654689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2847433 + ... + 2966263.

It is an arithmetic number, because the mean of its divisors is an integer number (8534514240).

Almost surely, 2^345423654688 is an apocalyptic number.

345423654688 is a gapful number since it is divisible by the number (38) 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 345423654688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409656683520).

345423654688 is an abundant number, since it is smaller than the sum of its proper divisors (473889712352).

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

345423654688 is a wasteful number, since it uses less digits than its factorization.

345423654688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119550 (or 119542 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 58.

The spelling of 345423654688 in words is "three hundred forty-five billion, four hundred twenty-three million, six hundred fifty-four thousand, six hundred eighty-eight".