48405965418 has 64 divisors (see below), whose sum is σ = 110937784320. Its totient is φ = 15635891376.

The previous prime is 48405965417. The next prime is 48405965501. The reversal of 48405965418 is 81456950484.

48405965418 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 5 + 96 + 541 + 8 = 666.

It is a super-2 number, since 2×48405965418² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48405965411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212821 + ... + 376967.

It is an arithmetic number, because the mean of its divisors is an integer number (1733402880).

Almost surely, 2^48405965418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48405965418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55468892160).

48405965418 is an abundant number, since it is smaller than the sum of its proper divisors (62531818902).

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

48405965418 is a wasteful number, since it uses less digits than its factorization.

48405965418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164328 (or 164322 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 48405965418 in words is "forty-eight billion, four hundred five million, nine hundred sixty-five thousand, four hundred eighteen".