345525504342544 has 40 divisors (see below), whose sum is σ = 692973995051160. Its totient is φ = 166700966304768.

The previous prime is 345525504342523. The next prime is 345525504342547. The reversal of 345525504342544 is 445243405525543.

It can be written as a sum of positive squares in 4 ways, for example, as 118013894096400 + 227511610246144 = 10863420^2 + 15083488^2 .

It is not an unprimeable number, because it can be changed into a prime (345525504342547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232404589 + ... + 233886604.

It is an arithmetic number, because the mean of its divisors is an integer number (17324349876279).

Almost surely, 2^{345525504342544} is an apocalyptic number.

It is an amenable number.

345525504342544 is an abundant number, since it is smaller than the sum of its proper divisors (347448490708616).

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

345525504342544 is a wasteful number, since it uses less digits than its factorization.

345525504342544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466292827 (or 466292821 counting only the distinct ones).

The product of its (nonzero) digits is 115200000, while the sum is 55.

The spelling of 345525504342544 in words is "three hundred forty-five trillion, five hundred twenty-five billion, five hundred four million, three hundred forty-two thousand, five hundred forty-four".