2005153465419 has 48 divisors (see below), whose sum is σ = 3286341746688. Its totient is φ = 1168831705536.

The previous prime is 2005153465387. The next prime is 2005153465457. The reversal of 2005153465419 is 9145643515002.

It is a happy number.

2005153465419 is a `hidden beast` number, since 2 + 0 + 0 + 51 + 53 + 4 + 6 + 541 + 9 = 666.

It is not a de Polignac number, because 2005153465419 - 2⁵ = 2005153465387 is a prime.

It is a super-2 number, since 2×2005153465419² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005153465519) 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, 3339979 + ... + 3894324.

It is an arithmetic number, because the mean of its divisors is an integer number (68465453056).

Almost surely, 2^{2005153465419} is an apocalyptic number.

2005153465419 is a deficient number, since it is larger than the sum of its proper divisors (1281188281269).

2005153465419 is a wasteful number, since it uses less digits than its factorization.

2005153465419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234448 (or 7234445 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2005153465419 in words is "two trillion, five billion, one hundred fifty-three million, four hundred sixty-five thousand, four hundred nineteen".