345400851653 has 24 divisors (see below), whose sum is σ = 416574184824. Its totient is φ = 284377991040.

The previous prime is 345400851643. The next prime is 345400851739. The reversal of 345400851653 is 356158004543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 336245569 + 345064606084 = 18337^2 + 587422^2 .

It is not a de Polignac number, because 345400851653 - 2¹⁰ = 345400850629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345400851643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988150 + ... + 2154887.

It is an arithmetic number, because the mean of its divisors is an integer number (17357257701).

Almost surely, 2^345400851653 is an apocalyptic number.

It is an amenable number.

345400851653 is a deficient number, since it is larger than the sum of its proper divisors (71173333171).

345400851653 is a wasteful number, since it uses less digits than its factorization.

345400851653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143125 (or 4143114 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 345400851653 in words is "three hundred forty-five billion, four hundred million, eight hundred fifty-one thousand, six hundred fifty-three".