254077413345 has 48 divisors (see below), whose sum is σ = 505229167872. Its totient is φ = 115708003200.

The previous prime is 254077413313. The next prime is 254077413353. The reversal of 254077413345 is 543314770452.

It is a happy number.

254077413345 is a `hidden beast` number, since 2 + 5 + 407 + 74 + 133 + 45 = 666.

254077413345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 254077413345 - 2⁵ = 254077413313 is a prime.

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 254077413345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1450606 + ... + 1616295.

It is an arithmetic number, because the mean of its divisors is an integer number (10525607664).

Almost surely, 2^254077413345 is an apocalyptic number.

It is an amenable number.

254077413345 is a deficient number, since it is larger than the sum of its proper divisors (251151754527).

254077413345 is a wasteful number, since it uses less digits than its factorization.

254077413345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067182 (or 3067179 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 254077413345 in words is "two hundred fifty-four billion, seventy-seven million, four hundred thirteen thousand, three hundred forty-five".