2005133441948 has 36 divisors (see below), whose sum is σ = 4395869474472. Its totient is φ = 793239602400.

The previous prime is 2005133441947. The next prime is 2005133441989. The reversal of 2005133441948 is 8491443315002.

It is a junction number, because it is equal to n+sod(n) for n = 2005133441899 and 2005133441908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005133441947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393469478 + ... + 393474573.

It is an arithmetic number, because the mean of its divisors is an integer number (122107485402).

Almost surely, 2^{2005133441948} is an apocalyptic number.

2005133441948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2005133441948 is an abundant number, since it is smaller than the sum of its proper divisors (2390736032524).

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

2005133441948 is a wasteful number, since it uses less digits than its factorization.

2005133441948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786944082 (or 786944073 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 2005133441948 in words is "two trillion, five billion, one hundred thirty-three million, four hundred forty-one thousand, nine hundred forty-eight".