48741014784 has 216 divisors, whose sum is σ = 162958962880. Its totient is φ = 12659834880.

The previous prime is 48741014783. The next prime is 48741014801.

48741014784 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48741014783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613032 + ... + 687960.

Almost surely, 2^48741014784 is an apocalyptic number.

48741014784 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 48741014784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81479481440).

48741014784 is an abundant number, since it is smaller than the sum of its proper divisors (114217948096).

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

48741014784 is a wasteful number, since it uses less digits than its factorization.

48741014784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74977 (or 74952 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The spelling of 48741014784 in words is "forty-eight billion, seven hundred forty-one million, fourteen thousand, seven hundred eighty-four".