48545411454584 has 256 divisors, whose sum is σ = 104742844416000. Its totient is φ = 20890957824000.

The previous prime is 48545411454563. The next prime is 48545411454637.

It is a happy number.

48545411454584 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×48545411454584³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43228326647 + ... + 43228327769.

It is an arithmetic number, because the mean of its divisors is an integer number (409151736000).

Almost surely, 2^{48545411454584} is an apocalyptic number.

48545411454584 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 48545411454584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52371422208000).

48545411454584 is an abundant number, since it is smaller than the sum of its proper divisors (56197432961416).

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

48545411454584 is a wasteful number, since it uses less digits than its factorization.

48545411454584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2286 counting only the distinct ones).

The product of its digits is 163840000, while the sum is 62.

The spelling of 48545411454584 in words is "forty-eight trillion, five hundred forty-five billion, four hundred eleven million, four hundred fifty-four thousand, five hundred eighty-four".