48106713680 has 120 divisors (see below), whose sum is σ = 116027651880. Its totient is φ = 18538455040.

The previous prime is 48106713661. The next prime is 48106713689. The reversal of 48106713680 is 8631760184.

It can be written as a sum of positive squares in 4 ways, for example, as 383689744 + 47723023936 = 19588^2 + 218456^2 .

It is a super-3 number, since 3×48106713680³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48106713689) 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, 22594856 + ... + 22596984.

It is an arithmetic number, because the mean of its divisors is an integer number (966897099).

Almost surely, 2^48106713680 is an apocalyptic number.

48106713680 is a gapful number since it is divisible by the number (40) 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 48106713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58013825940).

48106713680 is an abundant number, since it is smaller than the sum of its proper divisors (67920938200).

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

48106713680 is a wasteful number, since it uses less digits than its factorization.

48106713680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 48106713680 in words is "forty-eight billion, one hundred six million, seven hundred thirteen thousand, six hundred eighty".