1205807431023 has 48 divisors (see below), whose sum is σ = 1941367165920. Its totient is φ = 716083345152.

The previous prime is 1205807431021. The next prime is 1205807431033. The reversal of 1205807431023 is 3201347085021.

1205807431023 is a `hidden beast` number, since 1 + 2 + 0 + 580 + 7 + 43 + 10 + 23 = 666.

It is not a de Polignac number, because 1205807431023 - 2¹ = 1205807431021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205807431021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6652465 + ... + 6831317.

It is an arithmetic number, because the mean of its divisors is an integer number (40445149290).

Almost surely, 2^{1205807431023} is an apocalyptic number.

1205807431023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1205807431023 is a deficient number, since it is larger than the sum of its proper divisors (735559734897).

1205807431023 is a wasteful number, since it uses less digits than its factorization.

1205807431023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180888 (or 180885 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1205807431023 in words is "one trillion, two hundred five billion, eight hundred seven million, four hundred thirty-one thousand, twenty-three".