345361545126640 has 160 divisors (see below), whose sum is σ = 918610519449600. Its totient is φ = 118288977702912.

The previous prime is 345361545126629. The next prime is 345361545126649. The reversal of 345361545126640 is 46621545163543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345361545126649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7973601624 + ... + 7973644936.

It is an arithmetic number, because the mean of its divisors is an integer number (5741315746560).

Almost surely, 2^{345361545126640} 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 345361545126640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459305259724800).

345361545126640 is an abundant number, since it is smaller than the sum of its proper divisors (573248974322960).

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

345361545126640 is a wasteful number, since it uses less digits than its factorization.

345361545126640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57519 (or 57513 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 55.

The spelling of 345361545126640 in words is "three hundred forty-five trillion, three hundred sixty-one billion, five hundred forty-five million, one hundred twenty-six thousand, six hundred forty".