48246261336 has 640 divisors, whose sum is σ = 174536208000. Its totient is φ = 12109160448.

The previous prime is 48246261319. The next prime is 48246261391. The reversal of 48246261336 is 63316264284.

48246261336 = 179² + 180² + ... + 5250².

48246261336 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 626 + 13 + 3 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48246261291 and 48246261300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 152196250 + ... + 152196566.

It is an arithmetic number, because the mean of its divisors is an integer number (272712825).

Almost surely, 2^48246261336 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 48246261336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87268104000).

48246261336 is an abundant number, since it is smaller than the sum of its proper divisors (126289946664).

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

48246261336 is a wasteful number, since it uses less digits than its factorization.

48246261336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 48246261336 in words is "forty-eight billion, two hundred forty-six million, two hundred sixty-one thousand, three hundred thirty-six".