345510541040455 has 32 divisors (see below), whose sum is σ = 475662472796160. Its totient is φ = 236012739515520.

The previous prime is 345510541040419. The next prime is 345510541040471. The reversal of 345510541040455 is 554040145015543.

It is not a de Polignac number, because 345510541040455 - 2²⁷ = 345510406822727 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7616061 + ... + 27368329.

It is an arithmetic number, because the mean of its divisors is an integer number (14864452274880).

Almost surely, 2^{345510541040455} is an apocalyptic number.

345510541040455 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345510541040455 is a deficient number, since it is larger than the sum of its proper divisors (130151931755705).

345510541040455 is a wasteful number, since it uses less digits than its factorization.

345510541040455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19754199.

The product of its (nonzero) digits is 2400000, while the sum is 46.

Adding to 345510541040455 its reverse (554040145015543), we get a palindrome (899550686055998).

It can be divided in two parts, 345510 and 541040455, that added together give a triangular number (541385965 = T₃₂₉₀₅).

The spelling of 345510541040455 in words is "three hundred forty-five trillion, five hundred ten billion, five hundred forty-one million, forty thousand, four hundred fifty-five".