2145463513101 has 24 divisors (see below), whose sum is σ = 3138973399224. Its totient is φ = 1411945113600.

The previous prime is 2145463513069. The next prime is 2145463513121. The reversal of 2145463513101 is 1013153645412.

2145463513101 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 4 + 635 + 1 + 3 + 10 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153173607876 + 1992289905225 = 391374^2 + 1411485^2 .

It is not a de Polignac number, because 2145463513101 - 2⁵ = 2145463513069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145463513121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195516 + ... + 3808181.

It is an arithmetic number, because the mean of its divisors is an integer number (130790558301).

Almost surely, 2^{2145463513101} is an apocalyptic number.

It is an amenable number.

2145463513101 is a deficient number, since it is larger than the sum of its proper divisors (993509886123).

2145463513101 is a wasteful number, since it uses less digits than its factorization.

2145463513101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7004141 (or 7004138 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2145463513101 in words is "two trillion, one hundred forty-five billion, four hundred sixty-three million, five hundred thirteen thousand, one hundred one".