345810691152 has 140 divisors (see below), whose sum is σ = 1031704144660. Its totient is φ = 112154678784.

The previous prime is 345810691151. The next prime is 345810691157. The reversal of 345810691152 is 251196018543.

It is a happy number.

345810691152 is a `hidden beast` number, since 3 + 4 + 581 + 0 + 6 + 9 + 11 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324804247056 + 21006444096 = 569916^2 + 144936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345810691098 and 345810691107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345810691151) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30924 + ... + 832212.

It is an arithmetic number, because the mean of its divisors is an integer number (7369315319).

Almost surely, 2^345810691152 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 345810691152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515852072330).

345810691152 is an abundant number, since it is smaller than the sum of its proper divisors (685893453508).

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

345810691152 is an equidigital number, since it uses as much as digits as its factorization.

345810691152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801352 (or 801331 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 345810691152 in words is "three hundred forty-five billion, eight hundred ten million, six hundred ninety-one thousand, one hundred fifty-two".