1205045131455 has 192 divisors, whose sum is σ = 2525049676800. Its totient is φ = 539101221120.

The previous prime is 1205045131441. The next prime is 1205045131457. The reversal of 1205045131455 is 5541315405021.

1205045131455 is a `hidden beast` number, since 1 + 2 + 0 + 504 + 5 + 1 + 3 + 145 + 5 = 666.

It is not a de Polignac number, because 1205045131455 - 2¹⁰ = 1205045130431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205045131457) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1092515434 + ... + 1092516536.

It is an arithmetic number, because the mean of its divisors is an integer number (13151300400).

Almost surely, 2^{1205045131455} is an apocalyptic number.

1205045131455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1205045131455 is an abundant number, since it is smaller than the sum of its proper divisors (1320004545345).

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

1205045131455 is a wasteful number, since it uses less digits than its factorization.

1205045131455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1205045131455 in words is "one trillion, two hundred five billion, forty-five million, one hundred thirty-one thousand, four hundred fifty-five".