305344400534145 has 64 divisors (see below), whose sum is σ = 620386890670080. Its totient is φ = 139584972945600.

The previous prime is 305344400534081. The next prime is 305344400534203. The reversal of 305344400534145 is 541435004443503.

305344400534145 is a `hidden beast` number, since 3 + 0 + 5 + 34 + 4 + 40 + 0 + 534 + 1 + 45 = 666.

It is not a de Polignac number, because 305344400534145 - 2⁶ = 305344400534081 is a prime.

It is a super-2 number, since 2×305344400534145² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 305344400534145.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133882300 + ... + 136143890.

It is an arithmetic number, because the mean of its divisors is an integer number (9693545166720).

Almost surely, 2^{305344400534145} is an apocalyptic number.

305344400534145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

305344400534145 is an abundant number, since it is smaller than the sum of its proper divisors (315042490135935).

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

305344400534145 is a wasteful number, since it uses less digits than its factorization.

305344400534145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404483 (or 2404477 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 305344400534145 its reverse (541435004443503), we get a palindrome (846779404977648).

The spelling of 305344400534145 in words is "three hundred five trillion, three hundred forty-four billion, four hundred million, five hundred thirty-four thousand, one hundred forty-five".