48913671744 has 896 divisors, whose sum is σ = 184343040000. Its totient is φ = 12401786880.

The previous prime is 48913671743. The next prime is 48913671761. The reversal of 48913671744 is 44717631984.

It is a happy number.

48913671744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48913671743) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 273260647 + ... + 273260825.

It is an arithmetic number, because the mean of its divisors is an integer number (205740000).

Almost surely, 2^48913671744 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 48913671744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92171520000).

48913671744 is an abundant number, since it is smaller than the sum of its proper divisors (135429368256).

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

48913671744 is a wasteful number, since it uses less digits than its factorization.

48913671744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 48913671744 in words is "forty-eight billion, nine hundred thirteen million, six hundred seventy-one thousand, seven hundred forty-four".