48754445784 has 192 divisors, whose sum is σ = 137839242240. Its totient is φ = 14351040000.

The previous prime is 48754445771. The next prime is 48754445813.

It is a happy number.

48754445784 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×48754445784³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32265589 + ... + 32267099.

It is an arithmetic number, because the mean of its divisors is an integer number (717912720).

Almost surely, 2^48754445784 is an apocalyptic number.

48754445784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48754445784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68919621120).

48754445784 is an abundant number, since it is smaller than the sum of its proper divisors (89084796456).

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

48754445784 is a wasteful number, since it uses less digits than its factorization.

48754445784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1839 counting only the distinct ones).

The product of its digits is 80281600, while the sum is 60.

The spelling of 48754445784 in words is "forty-eight billion, seven hundred fifty-four million, four hundred forty-five thousand, seven hundred eighty-four".