345847495744 has 189 divisors, whose sum is σ = 748488293343. Its totient is φ = 158529705984.

The previous prime is 345847495703. The next prime is 345847495751. The reversal of 345847495744 is 447594748543.

The square root of 345847495744 is 588088.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29553735744 + 316293760000 = 171912^2 + 562400^2 .

It is a super-2 number, since 2×345847495744² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (270950400) is a multiple of the sum of its prime divisors (147).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4737636892 + ... + 4737636964.

Almost surely, 2^345847495744 is an apocalyptic number.

345847495744 is the 588088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345847495744

345847495744 is an abundant number, since it is smaller than the sum of its proper divisors (402640797599).

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

345847495744 is an frugal number, since it uses more digits than its factorization.

345847495744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 147 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 64.

Multiplying 345847495744 by its sum of digits (64), we get a square (22134239727616 = 4704704²).

345847495744 divided by its sum of digits (64) gives a square (5403867121 = 73511²).

The spelling of 345847495744 in words is "three hundred forty-five billion, eight hundred forty-seven million, four hundred ninety-five thousand, seven hundred forty-four".