9405056505048 has 96 divisors (see below), whose sum is σ = 25035631936560. Its totient is φ = 2934118051840.

The previous prime is 9405056505043. The next prime is 9405056505077. The reversal of 9405056505048 is 8405056505049.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9405056505043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12713008 + ... + 13432448.

Almost surely, 2^{9405056505048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9405056505048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517815968280).

9405056505048 is an abundant number, since it is smaller than the sum of its proper divisors (15630575431512).

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

9405056505048 is a wasteful number, since it uses less digits than its factorization.

9405056505048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719825 (or 719642 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 51.

Subtracting from 9405056505048 its reverse (8405056505049), we obtain a palindrome (999999999999).

The spelling of 9405056505048 in words is "nine trillion, four hundred five billion, fifty-six million, five hundred five thousand, forty-eight".