48353124240 has 120 divisors (see below), whose sum is σ = 162435195000. Its totient is φ = 12890253312.

The previous prime is 48353124203. The next prime is 48353124257. The reversal of 48353124240 is 4242135384.

48353124240 is a `hidden beast` number, since 4 + 83 + 531 + 2 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10929447936 + 37423676304 = 104544^2 + 193452^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48353124195 and 48353124204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967636 + ... + 2983884.

It is an arithmetic number, because the mean of its divisors is an integer number (1353626625).

Almost surely, 2^48353124240 is an apocalyptic number.

48353124240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48353124240 is an abundant number, since it is smaller than the sum of its proper divisors (114082070760).

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

48353124240 is a wasteful number, since it uses less digits than its factorization.

48353124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20401 (or 20392 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 48353124240 in words is "forty-eight billion, three hundred fifty-three million, one hundred twenty-four thousand, two hundred forty".